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Finding the Fourth Proportional to 1,585.10, 2,377.67 and 489.44

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Solution

The fourth proportional to 1,585.10, 2,377.67 and 489.44 is: 734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.10 : 2,377.67 = 489.44 : x
  2. Step 2: Convert to fraction form
    1,585.10/2,377.67 = 489.44/x
  3. Step 3: Cross multiply
    1,585.10x = 2,377.67 × 489.44
  4. Step 4: Simplify right side
    1,585.10x = 1,163,730.30
  5. Step 5: Solve for x
    x = 1,163,730.30/1,585.10
  6. Step 6: Final answer
    x = 734.17

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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.