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Finding the Fourth Proportional to 2,174.45, 3,001.12 and 1,290.74

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Solution

The fourth proportional to 2,174.45, 3,001.12 and 1,290.74 is: 1,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.45 : 3,001.12 = 1,290.74 : x
  2. Step 2: Convert to fraction form
    2,174.45/3,001.12 = 1,290.74/x
  3. Step 3: Cross multiply
    2,174.45x = 3,001.12 × 1,290.74
  4. Step 4: Simplify right side
    2,174.45x = 3,873,647.40
  5. Step 5: Solve for x
    x = 3,873,647.40/2,174.45
  6. Step 6: Final answer
    x = 1,781.44

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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.