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Finding the Fourth Proportional to 1,428, 2,142.08 and 402.08

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Solution

The fourth proportional to 1,428, 2,142.08 and 402.08 is: 603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428 : 2,142.08 = 402.08 : x
  2. Step 2: Convert to fraction form
    1,428/2,142.08 = 402.08/x
  3. Step 3: Cross multiply
    1,428x = 2,142.08 × 402.08
  4. Step 4: Simplify right side
    1,428x = 861,287.53
  5. Step 5: Solve for x
    x = 861,287.53/1,428
  6. Step 6: Final answer
    x = 603.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.