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Finding the Fourth Proportional to 2,872.22, 4,307.49 and 1,311.39

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Solution

The fourth proportional to 2,872.22, 4,307.49 and 1,311.39 is: 1,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.22 : 4,307.49 = 1,311.39 : x
  2. Step 2: Convert to fraction form
    2,872.22/4,307.49 = 1,311.39/x
  3. Step 3: Cross multiply
    2,872.22x = 4,307.49 × 1,311.39
  4. Step 4: Simplify right side
    2,872.22x = 5,648,799.31
  5. Step 5: Solve for x
    x = 5,648,799.31/2,872.22
  6. Step 6: Final answer
    x = 1,966.70

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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.