Home / 1,552.08-2,142.24-962.25

Finding the Fourth Proportional to 1,552.08, 2,142.24 and 962.25

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Solution

The fourth proportional to 1,552.08, 2,142.24 and 962.25 is: 1,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.08 : 2,142.24 = 962.25 : x
  2. Step 2: Convert to fraction form
    1,552.08/2,142.24 = 962.25/x
  3. Step 3: Cross multiply
    1,552.08x = 2,142.24 × 962.25
  4. Step 4: Simplify right side
    1,552.08x = 2,061,370.44
  5. Step 5: Solve for x
    x = 2,061,370.44/1,552.08
  6. Step 6: Final answer
    x = 1,328.13

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.