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Finding the Fourth Proportional to 2,192.86, 3,290.58 and 807.17

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Solution

The fourth proportional to 2,192.86, 3,290.58 and 807.17 is: 1,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.86 : 3,290.58 = 807.17 : x
  2. Step 2: Convert to fraction form
    2,192.86/3,290.58 = 807.17/x
  3. Step 3: Cross multiply
    2,192.86x = 3,290.58 × 807.17
  4. Step 4: Simplify right side
    2,192.86x = 2,656,044.07
  5. Step 5: Solve for x
    x = 2,656,044.07/2,192.86
  6. Step 6: Final answer
    x = 1,211.23

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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.