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Finding the Fourth Proportional to 1,652.94, 2,280.76 and 1,064.27

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Solution

The fourth proportional to 1,652.94, 2,280.76 and 1,064.27 is: 1,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.94 : 2,280.76 = 1,064.27 : x
  2. Step 2: Convert to fraction form
    1,652.94/2,280.76 = 1,064.27/x
  3. Step 3: Cross multiply
    1,652.94x = 2,280.76 × 1,064.27
  4. Step 4: Simplify right side
    1,652.94x = 2,427,347.49
  5. Step 5: Solve for x
    x = 2,427,347.49/1,652.94
  6. Step 6: Final answer
    x = 1,468.50

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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.