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Finding the Fourth Proportional to 2,974.46, 4,463.73 and 1,026.66

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Solution

The fourth proportional to 2,974.46, 4,463.73 and 1,026.66 is: 1,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.46 : 4,463.73 = 1,026.66 : x
  2. Step 2: Convert to fraction form
    2,974.46/4,463.73 = 1,026.66/x
  3. Step 3: Cross multiply
    2,974.46x = 4,463.73 × 1,026.66
  4. Step 4: Simplify right side
    2,974.46x = 4,582,733.04
  5. Step 5: Solve for x
    x = 4,582,733.04/2,974.46
  6. Step 6: Final answer
    x = 1,540.70

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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.