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Finding the Fourth Proportional to 3,275.67, 4,518.27 and 2,098.20

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Solution

The fourth proportional to 3,275.67, 4,518.27 and 2,098.20 is: 2,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.67 : 4,518.27 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    3,275.67/4,518.27 = 2,098.20/x
  3. Step 3: Cross multiply
    3,275.67x = 4,518.27 × 2,098.20
  4. Step 4: Simplify right side
    3,275.67x = 9,480,234.11
  5. Step 5: Solve for x
    x = 9,480,234.11/3,275.67
  6. Step 6: Final answer
    x = 2,894.14

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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.