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Finding the Fourth Proportional to 3,187.71, 4,774.61 and 2,260.46

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Solution

The fourth proportional to 3,187.71, 4,774.61 and 2,260.46 is: 3,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.71 : 4,774.61 = 2,260.46 : x
  2. Step 2: Convert to fraction form
    3,187.71/4,774.61 = 2,260.46/x
  3. Step 3: Cross multiply
    3,187.71x = 4,774.61 × 2,260.46
  4. Step 4: Simplify right side
    3,187.71x = 10,792,779.75
  5. Step 5: Solve for x
    x = 10,792,779.75/3,187.71
  6. Step 6: Final answer
    x = 3,385.75

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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.