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Finding the Fourth Proportional to 2,101.46, 2,899.80 and 1,217.55

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Solution

The fourth proportional to 2,101.46, 2,899.80 and 1,217.55 is: 1,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.46 : 2,899.80 = 1,217.55 : x
  2. Step 2: Convert to fraction form
    2,101.46/2,899.80 = 1,217.55/x
  3. Step 3: Cross multiply
    2,101.46x = 2,899.80 × 1,217.55
  4. Step 4: Simplify right side
    2,101.46x = 3,530,651.49
  5. Step 5: Solve for x
    x = 3,530,651.49/2,101.46
  6. Step 6: Final answer
    x = 1,680.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.