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Finding the Fourth Proportional to 2,307.86, 3,463.76 and 922.17

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Solution

The fourth proportional to 2,307.86, 3,463.76 and 922.17 is: 1,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.86 : 3,463.76 = 922.17 : x
  2. Step 2: Convert to fraction form
    2,307.86/3,463.76 = 922.17/x
  3. Step 3: Cross multiply
    2,307.86x = 3,463.76 × 922.17
  4. Step 4: Simplify right side
    2,307.86x = 3,194,175.56
  5. Step 5: Solve for x
    x = 3,194,175.56/2,307.86
  6. Step 6: Final answer
    x = 1,384.04

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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.