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Finding the Fourth Proportional to 2,871.65, 3,962.87 and 1,612.82

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Solution

The fourth proportional to 2,871.65, 3,962.87 and 1,612.82 is: 2,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.65 : 3,962.87 = 1,612.82 : x
  2. Step 2: Convert to fraction form
    2,871.65/3,962.87 = 1,612.82/x
  3. Step 3: Cross multiply
    2,871.65x = 3,962.87 × 1,612.82
  4. Step 4: Simplify right side
    2,871.65x = 6,391,409.93
  5. Step 5: Solve for x
    x = 6,391,409.93/2,871.65
  6. Step 6: Final answer
    x = 2,225.70

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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.