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Finding the Fourth Proportional to 2,148.72, 3,223.10 and 588.69

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Solution

The fourth proportional to 2,148.72, 3,223.10 and 588.69 is: 883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.72 : 3,223.10 = 588.69 : x
  2. Step 2: Convert to fraction form
    2,148.72/3,223.10 = 588.69/x
  3. Step 3: Cross multiply
    2,148.72x = 3,223.10 × 588.69
  4. Step 4: Simplify right side
    2,148.72x = 1,897,403.80
  5. Step 5: Solve for x
    x = 1,897,403.80/2,148.72
  6. Step 6: Final answer
    x = 883.04

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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.