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Finding the Fourth Proportional to 2,147.68, 3,222.09 and 686.86

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Solution

The fourth proportional to 2,147.68, 3,222.09 and 686.86 is: 1,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.68 : 3,222.09 = 686.86 : x
  2. Step 2: Convert to fraction form
    2,147.68/3,222.09 = 686.86/x
  3. Step 3: Cross multiply
    2,147.68x = 3,222.09 × 686.86
  4. Step 4: Simplify right side
    2,147.68x = 2,213,124.74
  5. Step 5: Solve for x
    x = 2,213,124.74/2,147.68
  6. Step 6: Final answer
    x = 1,030.47

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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.