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Finding the Fourth Proportional to 3,419.70, 4,717.15 and 2,158.53

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Solution

The fourth proportional to 3,419.70, 4,717.15 and 2,158.53 is: 2,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.70 : 4,717.15 = 2,158.53 : x
  2. Step 2: Convert to fraction form
    3,419.70/4,717.15 = 2,158.53/x
  3. Step 3: Cross multiply
    3,419.70x = 4,717.15 × 2,158.53
  4. Step 4: Simplify right side
    3,419.70x = 10,182,104.39
  5. Step 5: Solve for x
    x = 10,182,104.39/3,419.70
  6. Step 6: Final answer
    x = 2,977.48

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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.