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Finding the Fourth Proportional to 2,488.09, 3,432.15 and 2,138.63

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Solution

The fourth proportional to 2,488.09, 3,432.15 and 2,138.63 is: 2,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.09 : 3,432.15 = 2,138.63 : x
  2. Step 2: Convert to fraction form
    2,488.09/3,432.15 = 2,138.63/x
  3. Step 3: Cross multiply
    2,488.09x = 3,432.15 × 2,138.63
  4. Step 4: Simplify right side
    2,488.09x = 7,340,098.95
  5. Step 5: Solve for x
    x = 7,340,098.95/2,488.09
  6. Step 6: Final answer
    x = 2,950.09

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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.