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Finding the Fourth Proportional to 3,132.70, 4,322.10 and 2,014.23

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Solution

The fourth proportional to 3,132.70, 4,322.10 and 2,014.23 is: 2,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.70 : 4,322.10 = 2,014.23 : x
  2. Step 2: Convert to fraction form
    3,132.70/4,322.10 = 2,014.23/x
  3. Step 3: Cross multiply
    3,132.70x = 4,322.10 × 2,014.23
  4. Step 4: Simplify right side
    3,132.70x = 8,705,681.87
  5. Step 5: Solve for x
    x = 8,705,681.87/3,132.70
  6. Step 6: Final answer
    x = 2,778.97

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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.