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Finding the Fourth Proportional to 1,652.57, 2,282.09 and 1,064.14

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Solution

The fourth proportional to 1,652.57, 2,282.09 and 1,064.14 is: 1,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.57 : 2,282.09 = 1,064.14 : x
  2. Step 2: Convert to fraction form
    1,652.57/2,282.09 = 1,064.14/x
  3. Step 3: Cross multiply
    1,652.57x = 2,282.09 × 1,064.14
  4. Step 4: Simplify right side
    1,652.57x = 2,428,463.25
  5. Step 5: Solve for x
    x = 2,428,463.25/1,652.57
  6. Step 6: Final answer
    x = 1,469.51

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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.