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Finding the Fourth Proportional to 2,456.52, 3,692.88 and 2,276.16

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Solution

The fourth proportional to 2,456.52, 3,692.88 and 2,276.16 is: 3,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.52 : 3,692.88 = 2,276.16 : x
  2. Step 2: Convert to fraction form
    2,456.52/3,692.88 = 2,276.16/x
  3. Step 3: Cross multiply
    2,456.52x = 3,692.88 × 2,276.16
  4. Step 4: Simplify right side
    2,456.52x = 8,405,585.74
  5. Step 5: Solve for x
    x = 8,405,585.74/2,456.52
  6. Step 6: Final answer
    x = 3,421.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.