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Finding the Fourth Proportional to 2,148.89, 3,223.53 and 687.69

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Solution

The fourth proportional to 2,148.89, 3,223.53 and 687.69 is: 1,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.89 : 3,223.53 = 687.69 : x
  2. Step 2: Convert to fraction form
    2,148.89/3,223.53 = 687.69/x
  3. Step 3: Cross multiply
    2,148.89x = 3,223.53 × 687.69
  4. Step 4: Simplify right side
    2,148.89x = 2,216,789.35
  5. Step 5: Solve for x
    x = 2,216,789.35/2,148.89
  6. Step 6: Final answer
    x = 1,031.60

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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.