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Finding the Fourth Proportional to 3,114.68, 4,298.22 and 1,717.43

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Solution

The fourth proportional to 3,114.68, 4,298.22 and 1,717.43 is: 2,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.68 : 4,298.22 = 1,717.43 : x
  2. Step 2: Convert to fraction form
    3,114.68/4,298.22 = 1,717.43/x
  3. Step 3: Cross multiply
    3,114.68x = 4,298.22 × 1,717.43
  4. Step 4: Simplify right side
    3,114.68x = 7,381,870.48
  5. Step 5: Solve for x
    x = 7,381,870.48/3,114.68
  6. Step 6: Final answer
    x = 2,370.03

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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.