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Finding the Fourth Proportional to 2,232.07, 3,348.14 and 588.78

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Solution

The fourth proportional to 2,232.07, 3,348.14 and 588.78 is: 883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.07 : 3,348.14 = 588.78 : x
  2. Step 2: Convert to fraction form
    2,232.07/3,348.14 = 588.78/x
  3. Step 3: Cross multiply
    2,232.07x = 3,348.14 × 588.78
  4. Step 4: Simplify right side
    2,232.07x = 1,971,314.93
  5. Step 5: Solve for x
    x = 1,971,314.93/2,232.07
  6. Step 6: Final answer
    x = 883.18

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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.