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Finding the Fourth Proportional to 1,471.72, 2,196.20 and 1,308.10

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Solution

The fourth proportional to 1,471.72, 2,196.20 and 1,308.10 is: 1,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.72 : 2,196.20 = 1,308.10 : x
  2. Step 2: Convert to fraction form
    1,471.72/2,196.20 = 1,308.10/x
  3. Step 3: Cross multiply
    1,471.72x = 2,196.20 × 1,308.10
  4. Step 4: Simplify right side
    1,471.72x = 2,872,849.22
  5. Step 5: Solve for x
    x = 2,872,849.22/1,471.72
  6. Step 6: Final answer
    x = 1,952.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.