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Finding the Fourth Proportional to 2,196.72, 3,292.38 and 1,026

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Solution

The fourth proportional to 2,196.72, 3,292.38 and 1,026 is: 1,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.72 : 3,292.38 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,196.72/3,292.38 = 1,026/x
  3. Step 3: Cross multiply
    2,196.72x = 3,292.38 × 1,026
  4. Step 4: Simplify right side
    2,196.72x = 3,377,981.88
  5. Step 5: Solve for x
    x = 3,377,981.88/2,196.72
  6. Step 6: Final answer
    x = 1,537.74

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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.