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Finding the Fourth Proportional to 1,881.38, 2,597.22 and 1,252.96

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Solution

The fourth proportional to 1,881.38, 2,597.22 and 1,252.96 is: 1,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.38 : 2,597.22 = 1,252.96 : x
  2. Step 2: Convert to fraction form
    1,881.38/2,597.22 = 1,252.96/x
  3. Step 3: Cross multiply
    1,881.38x = 2,597.22 × 1,252.96
  4. Step 4: Simplify right side
    1,881.38x = 3,254,212.77
  5. Step 5: Solve for x
    x = 3,254,212.77/1,881.38
  6. Step 6: Final answer
    x = 1,729.69

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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.