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Finding the Fourth Proportional to 2,354.76, 3,249.52 and 1,292.55

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Solution

The fourth proportional to 2,354.76, 3,249.52 and 1,292.55 is: 1,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.76 : 3,249.52 = 1,292.55 : x
  2. Step 2: Convert to fraction form
    2,354.76/3,249.52 = 1,292.55/x
  3. Step 3: Cross multiply
    2,354.76x = 3,249.52 × 1,292.55
  4. Step 4: Simplify right side
    2,354.76x = 4,200,167.08
  5. Step 5: Solve for x
    x = 4,200,167.08/2,354.76
  6. Step 6: Final answer
    x = 1,783.69

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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.