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Finding the Fourth Proportional to 2,197.29, 3,294.72 and 1,417.26

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Solution

The fourth proportional to 2,197.29, 3,294.72 and 1,417.26 is: 2,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.29 : 3,294.72 = 1,417.26 : x
  2. Step 2: Convert to fraction form
    2,197.29/3,294.72 = 1,417.26/x
  3. Step 3: Cross multiply
    2,197.29x = 3,294.72 × 1,417.26
  4. Step 4: Simplify right side
    2,197.29x = 4,669,474.87
  5. Step 5: Solve for x
    x = 4,669,474.87/2,197.29
  6. Step 6: Final answer
    x = 2,125.11

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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.