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Finding the Fourth Proportional to 1,428.02, 2,142.01 and 402.02

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Solution

The fourth proportional to 1,428.02, 2,142.01 and 402.02 is: 603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.02 : 2,142.01 = 402.02 : x
  2. Step 2: Convert to fraction form
    1,428.02/2,142.01 = 402.02/x
  3. Step 3: Cross multiply
    1,428.02x = 2,142.01 × 402.02
  4. Step 4: Simplify right side
    1,428.02x = 861,130.86
  5. Step 5: Solve for x
    x = 861,130.86/1,428.02
  6. Step 6: Final answer
    x = 603.02

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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.