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Finding the Fourth Proportional to 2,655.40, 3,983.10 and 2,290.60

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Solution

The fourth proportional to 2,655.40, 3,983.10 and 2,290.60 is: 3,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.40 : 3,983.10 = 2,290.60 : x
  2. Step 2: Convert to fraction form
    2,655.40/3,983.10 = 2,290.60/x
  3. Step 3: Cross multiply
    2,655.40x = 3,983.10 × 2,290.60
  4. Step 4: Simplify right side
    2,655.40x = 9,123,688.86
  5. Step 5: Solve for x
    x = 9,123,688.86/2,655.40
  6. Step 6: Final answer
    x = 3,435.90

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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.