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Finding the Fourth Proportional to 2,473.68, 3,707.26 and 1,175.52

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Solution

The fourth proportional to 2,473.68, 3,707.26 and 1,175.52 is: 1,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.68 : 3,707.26 = 1,175.52 : x
  2. Step 2: Convert to fraction form
    2,473.68/3,707.26 = 1,175.52/x
  3. Step 3: Cross multiply
    2,473.68x = 3,707.26 × 1,175.52
  4. Step 4: Simplify right side
    2,473.68x = 4,357,958.28
  5. Step 5: Solve for x
    x = 4,357,958.28/2,473.68
  6. Step 6: Final answer
    x = 1,761.73

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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.