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Finding the Fourth Proportional to 1,471.66, 2,209.87 and 1,397.66

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Solution

The fourth proportional to 1,471.66, 2,209.87 and 1,397.66 is: 2,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.66 : 2,209.87 = 1,397.66 : x
  2. Step 2: Convert to fraction form
    1,471.66/2,209.87 = 1,397.66/x
  3. Step 3: Cross multiply
    1,471.66x = 2,209.87 × 1,397.66
  4. Step 4: Simplify right side
    1,471.66x = 3,088,637.60
  5. Step 5: Solve for x
    x = 3,088,637.60/1,471.66
  6. Step 6: Final answer
    x = 2,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.