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Finding the Fourth Proportional to 2,527.42, 3,488.49 and 2,278.30

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Solution

The fourth proportional to 2,527.42, 3,488.49 and 2,278.30 is: 3,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.42 : 3,488.49 = 2,278.30 : x
  2. Step 2: Convert to fraction form
    2,527.42/3,488.49 = 2,278.30/x
  3. Step 3: Cross multiply
    2,527.42x = 3,488.49 × 2,278.30
  4. Step 4: Simplify right side
    2,527.42x = 7,947,826.77
  5. Step 5: Solve for x
    x = 7,947,826.77/2,527.42
  6. Step 6: Final answer
    x = 3,144.64

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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.