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Finding the Fourth Proportional to 1,381.47, 2,062.09 and 1,217.44

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Solution

The fourth proportional to 1,381.47, 2,062.09 and 1,217.44 is: 1,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.47 : 2,062.09 = 1,217.44 : x
  2. Step 2: Convert to fraction form
    1,381.47/2,062.09 = 1,217.44/x
  3. Step 3: Cross multiply
    1,381.47x = 2,062.09 × 1,217.44
  4. Step 4: Simplify right side
    1,381.47x = 2,510,464.76
  5. Step 5: Solve for x
    x = 2,510,464.76/1,381.47
  6. Step 6: Final answer
    x = 1,817.25

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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.