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Finding the Fourth Proportional to 1,624.47, 2,435.90 and 584.31

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Solution

The fourth proportional to 1,624.47, 2,435.90 and 584.31 is: 876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.47 : 2,435.90 = 584.31 : x
  2. Step 2: Convert to fraction form
    1,624.47/2,435.90 = 584.31/x
  3. Step 3: Cross multiply
    1,624.47x = 2,435.90 × 584.31
  4. Step 4: Simplify right side
    1,624.47x = 1,423,320.73
  5. Step 5: Solve for x
    x = 1,423,320.73/1,624.47
  6. Step 6: Final answer
    x = 876.18

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