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Finding the Fourth Proportional to 3,490.52, 4,815.30 and 2,230.96

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Solution

The fourth proportional to 3,490.52, 4,815.30 and 2,230.96 is: 3,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.52 : 4,815.30 = 2,230.96 : x
  2. Step 2: Convert to fraction form
    3,490.52/4,815.30 = 2,230.96/x
  3. Step 3: Cross multiply
    3,490.52x = 4,815.30 × 2,230.96
  4. Step 4: Simplify right side
    3,490.52x = 10,742,741.69
  5. Step 5: Solve for x
    x = 10,742,741.69/3,490.52
  6. Step 6: Final answer
    x = 3,077.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.