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Finding the Fourth Proportional to 2,902.39, 4,352.12 and 1,421.72

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Solution

The fourth proportional to 2,902.39, 4,352.12 and 1,421.72 is: 2,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.39 : 4,352.12 = 1,421.72 : x
  2. Step 2: Convert to fraction form
    2,902.39/4,352.12 = 1,421.72/x
  3. Step 3: Cross multiply
    2,902.39x = 4,352.12 × 1,421.72
  4. Step 4: Simplify right side
    2,902.39x = 6,187,510.48
  5. Step 5: Solve for x
    x = 6,187,510.48/2,902.39
  6. Step 6: Final answer
    x = 2,131.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.