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Finding the Fourth Proportional to 2,232.18, 3,347.89 and 588.74

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Solution

The fourth proportional to 2,232.18, 3,347.89 and 588.74 is: 883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.18 : 3,347.89 = 588.74 : x
  2. Step 2: Convert to fraction form
    2,232.18/3,347.89 = 588.74/x
  3. Step 3: Cross multiply
    2,232.18x = 3,347.89 × 588.74
  4. Step 4: Simplify right side
    2,232.18x = 1,971,043.66
  5. Step 5: Solve for x
    x = 1,971,043.66/2,232.18
  6. Step 6: Final answer
    x = 883.01

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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.