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Finding the Fourth Proportional to 3,117.48, 4,676.02 and 1,169.52

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Solution

The fourth proportional to 3,117.48, 4,676.02 and 1,169.52 is: 1,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.48 : 4,676.02 = 1,169.52 : x
  2. Step 2: Convert to fraction form
    3,117.48/4,676.02 = 1,169.52/x
  3. Step 3: Cross multiply
    3,117.48x = 4,676.02 × 1,169.52
  4. Step 4: Simplify right side
    3,117.48x = 5,468,698.91
  5. Step 5: Solve for x
    x = 5,468,698.91/3,117.48
  6. Step 6: Final answer
    x = 1,754.20

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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.