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Finding the Fourth Proportional to 1,224.22, 1,686.57 and 1,001.87

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Solution

The fourth proportional to 1,224.22, 1,686.57 and 1,001.87 is: 1,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.22 : 1,686.57 = 1,001.87 : x
  2. Step 2: Convert to fraction form
    1,224.22/1,686.57 = 1,001.87/x
  3. Step 3: Cross multiply
    1,224.22x = 1,686.57 × 1,001.87
  4. Step 4: Simplify right side
    1,224.22x = 1,689,718.88
  5. Step 5: Solve for x
    x = 1,689,718.88/1,224.22
  6. Step 6: Final answer
    x = 1,380.25

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