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Finding the Fourth Proportional to 2,188.08, 3,281.40 and 726.84

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Solution

The fourth proportional to 2,188.08, 3,281.40 and 726.84 is: 1,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.08 : 3,281.40 = 726.84 : x
  2. Step 2: Convert to fraction form
    2,188.08/3,281.40 = 726.84/x
  3. Step 3: Cross multiply
    2,188.08x = 3,281.40 × 726.84
  4. Step 4: Simplify right side
    2,188.08x = 2,385,052.78
  5. Step 5: Solve for x
    x = 2,385,052.78/2,188.08
  6. Step 6: Final answer
    x = 1,090.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.