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Finding the Fourth Proportional to 2,147.25, 3,220.71 and 686.01

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Solution

The fourth proportional to 2,147.25, 3,220.71 and 686.01 is: 1,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.25 : 3,220.71 = 686.01 : x
  2. Step 2: Convert to fraction form
    2,147.25/3,220.71 = 686.01/x
  3. Step 3: Cross multiply
    2,147.25x = 3,220.71 × 686.01
  4. Step 4: Simplify right side
    2,147.25x = 2,209,423.16
  5. Step 5: Solve for x
    x = 2,209,423.16/2,147.25
  6. Step 6: Final answer
    x = 1,028.96

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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.