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Finding the Fourth Proportional to 2,740.16, 3,773.73 and 2,385.90

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Solution

The fourth proportional to 2,740.16, 3,773.73 and 2,385.90 is: 3,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.16 : 3,773.73 = 2,385.90 : x
  2. Step 2: Convert to fraction form
    2,740.16/3,773.73 = 2,385.90/x
  3. Step 3: Cross multiply
    2,740.16x = 3,773.73 × 2,385.90
  4. Step 4: Simplify right side
    2,740.16x = 9,003,742.41
  5. Step 5: Solve for x
    x = 9,003,742.41/2,740.16
  6. Step 6: Final answer
    x = 3,285.85

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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.