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Finding the Fourth Proportional to 2,174.32, 3,000.95 and 1,290.61

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Solution

The fourth proportional to 2,174.32, 3,000.95 and 1,290.61 is: 1,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.32 : 3,000.95 = 1,290.61 : x
  2. Step 2: Convert to fraction form
    2,174.32/3,000.95 = 1,290.61/x
  3. Step 3: Cross multiply
    2,174.32x = 3,000.95 × 1,290.61
  4. Step 4: Simplify right side
    2,174.32x = 3,873,056.08
  5. Step 5: Solve for x
    x = 3,873,056.08/2,174.32
  6. Step 6: Final answer
    x = 1,781.27

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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.