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Finding the Fourth Proportional to 2,232.22, 3,348.49 and 588.75

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Solution

The fourth proportional to 2,232.22, 3,348.49 and 588.75 is: 883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.22 : 3,348.49 = 588.75 : x
  2. Step 2: Convert to fraction form
    2,232.22/3,348.49 = 588.75/x
  3. Step 3: Cross multiply
    2,232.22x = 3,348.49 × 588.75
  4. Step 4: Simplify right side
    2,232.22x = 1,971,422.02
  5. Step 5: Solve for x
    x = 1,971,422.02/2,232.22
  6. Step 6: Final answer
    x = 883.17

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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.