Home / 1,577.24-2,176.78-914.12

Finding the Fourth Proportional to 1,577.24, 2,176.78 and 914.12

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Solution

The fourth proportional to 1,577.24, 2,176.78 and 914.12 is: 1,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.24 : 2,176.78 = 914.12 : x
  2. Step 2: Convert to fraction form
    1,577.24/2,176.78 = 914.12/x
  3. Step 3: Cross multiply
    1,577.24x = 2,176.78 × 914.12
  4. Step 4: Simplify right side
    1,577.24x = 1,989,838.13
  5. Step 5: Solve for x
    x = 1,989,838.13/1,577.24
  6. Step 6: Final answer
    x = 1,261.60

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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.