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Finding the Fourth Proportional to 1,864.14, 2,572.53 and 1,024.82

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Solution

The fourth proportional to 1,864.14, 2,572.53 and 1,024.82 is: 1,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.14 : 2,572.53 = 1,024.82 : x
  2. Step 2: Convert to fraction form
    1,864.14/2,572.53 = 1,024.82/x
  3. Step 3: Cross multiply
    1,864.14x = 2,572.53 × 1,024.82
  4. Step 4: Simplify right side
    1,864.14x = 2,636,362.21
  5. Step 5: Solve for x
    x = 2,636,362.21/1,864.14
  6. Step 6: Final answer
    x = 1,414.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.