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Finding the Fourth Proportional to 2,330.73, 3,494.61 and 869.22

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Solution

The fourth proportional to 2,330.73, 3,494.61 and 869.22 is: 1,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.73 : 3,494.61 = 869.22 : x
  2. Step 2: Convert to fraction form
    2,330.73/3,494.61 = 869.22/x
  3. Step 3: Cross multiply
    2,330.73x = 3,494.61 × 869.22
  4. Step 4: Simplify right side
    2,330.73x = 3,037,584.90
  5. Step 5: Solve for x
    x = 3,037,584.90/2,330.73
  6. Step 6: Final answer
    x = 1,303.28

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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.