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Finding the Fourth Proportional to 2,148.86, 3,223.69 and 688.38

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Solution

The fourth proportional to 2,148.86, 3,223.69 and 688.38 is: 1,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.86 : 3,223.69 = 688.38 : x
  2. Step 2: Convert to fraction form
    2,148.86/3,223.69 = 688.38/x
  3. Step 3: Cross multiply
    2,148.86x = 3,223.69 × 688.38
  4. Step 4: Simplify right side
    2,148.86x = 2,219,123.72
  5. Step 5: Solve for x
    x = 2,219,123.72/2,148.86
  6. Step 6: Final answer
    x = 1,032.70

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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.