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Finding the Fourth Proportional to 3,116.92, 4,301.40 and 1,719.68

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Solution

The fourth proportional to 3,116.92, 4,301.40 and 1,719.68 is: 2,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.92 : 4,301.40 = 1,719.68 : x
  2. Step 2: Convert to fraction form
    3,116.92/4,301.40 = 1,719.68/x
  3. Step 3: Cross multiply
    3,116.92x = 4,301.40 × 1,719.68
  4. Step 4: Simplify right side
    3,116.92x = 7,397,031.55
  5. Step 5: Solve for x
    x = 7,397,031.55/3,116.92
  6. Step 6: Final answer
    x = 2,373.19

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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.