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Finding the Fourth Proportional to 2,488.71, 3,416.10 and 2,202.72

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Solution

The fourth proportional to 2,488.71, 3,416.10 and 2,202.72 is: 3,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.71 : 3,416.10 = 2,202.72 : x
  2. Step 2: Convert to fraction form
    2,488.71/3,416.10 = 2,202.72/x
  3. Step 3: Cross multiply
    2,488.71x = 3,416.10 × 2,202.72
  4. Step 4: Simplify right side
    2,488.71x = 7,524,711.79
  5. Step 5: Solve for x
    x = 7,524,711.79/2,488.71
  6. Step 6: Final answer
    x = 3,023.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.