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Finding the Fourth Proportional to 2,292.13, 3,437.55 and 886.22

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Solution

The fourth proportional to 2,292.13, 3,437.55 and 886.22 is: 1,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.13 : 3,437.55 = 886.22 : x
  2. Step 2: Convert to fraction form
    2,292.13/3,437.55 = 886.22/x
  3. Step 3: Cross multiply
    2,292.13x = 3,437.55 × 886.22
  4. Step 4: Simplify right side
    2,292.13x = 3,046,434.15
  5. Step 5: Solve for x
    x = 3,046,434.15/2,292.13
  6. Step 6: Final answer
    x = 1,329.09

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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.