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Finding the Fourth Proportional to 2,171, 2,998.42 and 1,471.16

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Solution

The fourth proportional to 2,171, 2,998.42 and 1,471.16 is: 2,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 2,998.42 = 1,471.16 : x
  2. Step 2: Convert to fraction form
    2,171/2,998.42 = 1,471.16/x
  3. Step 3: Cross multiply
    2,171x = 2,998.42 × 1,471.16
  4. Step 4: Simplify right side
    2,171x = 4,411,155.57
  5. Step 5: Solve for x
    x = 4,411,155.57/2,171
  6. Step 6: Final answer
    x = 2,031.85

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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.