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Finding the Fourth Proportional to 2,872.67, 4,307.18 and 1,411.83

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Solution

The fourth proportional to 2,872.67, 4,307.18 and 1,411.83 is: 2,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.67 : 4,307.18 = 1,411.83 : x
  2. Step 2: Convert to fraction form
    2,872.67/4,307.18 = 1,411.83/x
  3. Step 3: Cross multiply
    2,872.67x = 4,307.18 × 1,411.83
  4. Step 4: Simplify right side
    2,872.67x = 6,080,998.88
  5. Step 5: Solve for x
    x = 6,080,998.88/2,872.67
  6. Step 6: Final answer
    x = 2,116.85

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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.