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Finding the Fourth Proportional to 2,527.96, 3,488.52 and 2,453.44

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Solution

The fourth proportional to 2,527.96, 3,488.52 and 2,453.44 is: 3,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.96 : 3,488.52 = 2,453.44 : x
  2. Step 2: Convert to fraction form
    2,527.96/3,488.52 = 2,453.44/x
  3. Step 3: Cross multiply
    2,527.96x = 3,488.52 × 2,453.44
  4. Step 4: Simplify right side
    2,527.96x = 8,558,874.51
  5. Step 5: Solve for x
    x = 8,558,874.51/2,527.96
  6. Step 6: Final answer
    x = 3,385.68

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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.