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Finding the Fourth Proportional to 2,894.66, 4,342.03 and 814.73

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Solution

The fourth proportional to 2,894.66, 4,342.03 and 814.73 is: 1,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.66 : 4,342.03 = 814.73 : x
  2. Step 2: Convert to fraction form
    2,894.66/4,342.03 = 814.73/x
  3. Step 3: Cross multiply
    2,894.66x = 4,342.03 × 814.73
  4. Step 4: Simplify right side
    2,894.66x = 3,537,597.28
  5. Step 5: Solve for x
    x = 3,537,597.28/2,894.66
  6. Step 6: Final answer
    x = 1,222.11

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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.