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Finding the Fourth Proportional to 2,377.12, 3,543.22 and 2,260.15

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Solution

The fourth proportional to 2,377.12, 3,543.22 and 2,260.15 is: 3,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.12 : 3,543.22 = 2,260.15 : x
  2. Step 2: Convert to fraction form
    2,377.12/3,543.22 = 2,260.15/x
  3. Step 3: Cross multiply
    2,377.12x = 3,543.22 × 2,260.15
  4. Step 4: Simplify right side
    2,377.12x = 8,008,208.68
  5. Step 5: Solve for x
    x = 8,008,208.68/2,377.12
  6. Step 6: Final answer
    x = 3,368.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.