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Finding the Fourth Proportional to 2,200.80, 3,298.29 and 1,030.71

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Solution

The fourth proportional to 2,200.80, 3,298.29 and 1,030.71 is: 1,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.80 : 3,298.29 = 1,030.71 : x
  2. Step 2: Convert to fraction form
    2,200.80/3,298.29 = 1,030.71/x
  3. Step 3: Cross multiply
    2,200.80x = 3,298.29 × 1,030.71
  4. Step 4: Simplify right side
    2,200.80x = 3,399,580.49
  5. Step 5: Solve for x
    x = 3,399,580.49/2,200.80
  6. Step 6: Final answer
    x = 1,544.70

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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.