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Finding the Fourth Proportional to 1,864.12, 2,572.48 and 1,024.87

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Solution

The fourth proportional to 1,864.12, 2,572.48 and 1,024.87 is: 1,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.12 : 2,572.48 = 1,024.87 : x
  2. Step 2: Convert to fraction form
    1,864.12/2,572.48 = 1,024.87/x
  3. Step 3: Cross multiply
    1,864.12x = 2,572.48 × 1,024.87
  4. Step 4: Simplify right side
    1,864.12x = 2,636,460.13
  5. Step 5: Solve for x
    x = 2,636,460.13/1,864.12
  6. Step 6: Final answer
    x = 1,414.32

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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.