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Finding the Fourth Proportional to 2,471.84, 3,411.14 and 1,352.82

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Solution

The fourth proportional to 2,471.84, 3,411.14 and 1,352.82 is: 1,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.84 : 3,411.14 = 1,352.82 : x
  2. Step 2: Convert to fraction form
    2,471.84/3,411.14 = 1,352.82/x
  3. Step 3: Cross multiply
    2,471.84x = 3,411.14 × 1,352.82
  4. Step 4: Simplify right side
    2,471.84x = 4,614,651.65
  5. Step 5: Solve for x
    x = 4,614,651.65/2,471.84
  6. Step 6: Final answer
    x = 1,866.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.