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Finding the Fourth Proportional to 2,358.68, 3,540.14 and 1,317.16

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Solution

The fourth proportional to 2,358.68, 3,540.14 and 1,317.16 is: 1,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.68 : 3,540.14 = 1,317.16 : x
  2. Step 2: Convert to fraction form
    2,358.68/3,540.14 = 1,317.16/x
  3. Step 3: Cross multiply
    2,358.68x = 3,540.14 × 1,317.16
  4. Step 4: Simplify right side
    2,358.68x = 4,662,930.80
  5. Step 5: Solve for x
    x = 4,662,930.80/2,358.68
  6. Step 6: Final answer
    x = 1,976.92

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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.