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Finding the Fourth Proportional to 2,148.69, 3,223.44 and 687.45

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Solution

The fourth proportional to 2,148.69, 3,223.44 and 687.45 is: 1,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.69 : 3,223.44 = 687.45 : x
  2. Step 2: Convert to fraction form
    2,148.69/3,223.44 = 687.45/x
  3. Step 3: Cross multiply
    2,148.69x = 3,223.44 × 687.45
  4. Step 4: Simplify right side
    2,148.69x = 2,215,934.27
  5. Step 5: Solve for x
    x = 2,215,934.27/2,148.69
  6. Step 6: Final answer
    x = 1,031.30

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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.