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Finding the Fourth Proportional to 3,230.18, 4,842.99 and 1,585.68

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Solution

The fourth proportional to 3,230.18, 4,842.99 and 1,585.68 is: 2,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.18 : 4,842.99 = 1,585.68 : x
  2. Step 2: Convert to fraction form
    3,230.18/4,842.99 = 1,585.68/x
  3. Step 3: Cross multiply
    3,230.18x = 4,842.99 × 1,585.68
  4. Step 4: Simplify right side
    3,230.18x = 7,679,414.22
  5. Step 5: Solve for x
    x = 7,679,414.22/3,230.18
  6. Step 6: Final answer
    x = 2,377.40

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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.