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Finding the Fourth Proportional to 1,585.76, 2,377.92 and 489.92

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Solution

The fourth proportional to 1,585.76, 2,377.92 and 489.92 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.76 : 2,377.92 = 489.92 : x
  2. Step 2: Convert to fraction form
    1,585.76/2,377.92 = 489.92/x
  3. Step 3: Cross multiply
    1,585.76x = 2,377.92 × 489.92
  4. Step 4: Simplify right side
    1,585.76x = 1,164,990.57
  5. Step 5: Solve for x
    x = 1,164,990.57/1,585.76
  6. Step 6: Final answer
    x = 734.66

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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.