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Finding the Fourth Proportional to 1,789.58, 2,683.96 and 491.15

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Solution

The fourth proportional to 1,789.58, 2,683.96 and 491.15 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.58 : 2,683.96 = 491.15 : x
  2. Step 2: Convert to fraction form
    1,789.58/2,683.96 = 491.15/x
  3. Step 3: Cross multiply
    1,789.58x = 2,683.96 × 491.15
  4. Step 4: Simplify right side
    1,789.58x = 1,318,226.95
  5. Step 5: Solve for x
    x = 1,318,226.95/1,789.58
  6. Step 6: Final answer
    x = 736.61

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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.