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Finding the Fourth Proportional to 2,271.47, 3,407.20 and 1,251.95

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Solution

The fourth proportional to 2,271.47, 3,407.20 and 1,251.95 is: 1,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.47 : 3,407.20 = 1,251.95 : x
  2. Step 2: Convert to fraction form
    2,271.47/3,407.20 = 1,251.95/x
  3. Step 3: Cross multiply
    2,271.47x = 3,407.20 × 1,251.95
  4. Step 4: Simplify right side
    2,271.47x = 4,265,623.87
  5. Step 5: Solve for x
    x = 4,265,623.87/2,271.47
  6. Step 6: Final answer
    x = 1,877.92

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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.