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Finding the Fourth Proportional to 2,174.64, 3,001.78 and 1,290.46

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Solution

The fourth proportional to 2,174.64, 3,001.78 and 1,290.46 is: 1,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,001.78 = 1,290.46 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,001.78 = 1,290.46/x
  3. Step 3: Cross multiply
    2,174.64x = 3,001.78 × 1,290.46
  4. Step 4: Simplify right side
    2,174.64x = 3,873,677.02
  5. Step 5: Solve for x
    x = 3,873,677.02/2,174.64
  6. Step 6: Final answer
    x = 1,781.30

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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.