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Finding the Fourth Proportional to 1,585.59, 2,378.52 and 489.96

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Solution

The fourth proportional to 1,585.59, 2,378.52 and 489.96 is: 734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.59 : 2,378.52 = 489.96 : x
  2. Step 2: Convert to fraction form
    1,585.59/2,378.52 = 489.96/x
  3. Step 3: Cross multiply
    1,585.59x = 2,378.52 × 489.96
  4. Step 4: Simplify right side
    1,585.59x = 1,165,379.66
  5. Step 5: Solve for x
    x = 1,165,379.66/1,585.59
  6. Step 6: Final answer
    x = 734.98

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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.