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Finding the Fourth Proportional to 3,158.28, 4,358.18 and 1,742.00

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Solution

The fourth proportional to 3,158.28, 4,358.18 and 1,742.00 is: 2,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.28 : 4,358.18 = 1,742.00 : x
  2. Step 2: Convert to fraction form
    3,158.28/4,358.18 = 1,742.00/x
  3. Step 3: Cross multiply
    3,158.28x = 4,358.18 × 1,742.00
  4. Step 4: Simplify right side
    3,158.28x = 7,591,919.06
  5. Step 5: Solve for x
    x = 7,591,919.06/3,158.28
  6. Step 6: Final answer
    x = 2,403.81

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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.