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Finding the Fourth Proportional to 2,690.30, 4,030.65 and 2,200.70

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Solution

The fourth proportional to 2,690.30, 4,030.65 and 2,200.70 is: 3,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.30 : 4,030.65 = 2,200.70 : x
  2. Step 2: Convert to fraction form
    2,690.30/4,030.65 = 2,200.70/x
  3. Step 3: Cross multiply
    2,690.30x = 4,030.65 × 2,200.70
  4. Step 4: Simplify right side
    2,690.30x = 8,870,251.46
  5. Step 5: Solve for x
    x = 8,870,251.46/2,690.30
  6. Step 6: Final answer
    x = 3,297.12

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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.