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Finding the Fourth Proportional to 2,232.09, 3,347.85 and 588.76

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Solution

The fourth proportional to 2,232.09, 3,347.85 and 588.76 is: 883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.09 : 3,347.85 = 588.76 : x
  2. Step 2: Convert to fraction form
    2,232.09/3,347.85 = 588.76/x
  3. Step 3: Cross multiply
    2,232.09x = 3,347.85 × 588.76
  4. Step 4: Simplify right side
    2,232.09x = 1,971,080.17
  5. Step 5: Solve for x
    x = 1,971,080.17/2,232.09
  6. Step 6: Final answer
    x = 883.06

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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.