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Finding the Fourth Proportional to 2,227.90, 3,341.85 and 688.70

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Solution

The fourth proportional to 2,227.90, 3,341.85 and 688.70 is: 1,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.90 : 3,341.85 = 688.70 : x
  2. Step 2: Convert to fraction form
    2,227.90/3,341.85 = 688.70/x
  3. Step 3: Cross multiply
    2,227.90x = 3,341.85 × 688.70
  4. Step 4: Simplify right side
    2,227.90x = 2,301,532.10
  5. Step 5: Solve for x
    x = 2,301,532.10/2,227.90
  6. Step 6: Final answer
    x = 1,033.05

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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.