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Finding the Fourth Proportional to 1,602.92, 2,402.70 and 1,024.04

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Solution

The fourth proportional to 1,602.92, 2,402.70 and 1,024.04 is: 1,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.92 : 2,402.70 = 1,024.04 : x
  2. Step 2: Convert to fraction form
    1,602.92/2,402.70 = 1,024.04/x
  3. Step 3: Cross multiply
    1,602.92x = 2,402.70 × 1,024.04
  4. Step 4: Simplify right side
    1,602.92x = 2,460,460.91
  5. Step 5: Solve for x
    x = 2,460,460.91/1,602.92
  6. Step 6: Final answer
    x = 1,534.99

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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.