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Finding the Fourth Proportional to 2,197.31, 3,292.99 and 898.07

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Solution

The fourth proportional to 2,197.31, 3,292.99 and 898.07 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.31 : 3,292.99 = 898.07 : x
  2. Step 2: Convert to fraction form
    2,197.31/3,292.99 = 898.07/x
  3. Step 3: Cross multiply
    2,197.31x = 3,292.99 × 898.07
  4. Step 4: Simplify right side
    2,197.31x = 2,957,316.82
  5. Step 5: Solve for x
    x = 2,957,316.82/2,197.31
  6. Step 6: Final answer
    x = 1,345.88

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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.