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Finding the Fourth Proportional to 1,772.91, 2,446.49 and 1,026.81

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Solution

The fourth proportional to 1,772.91, 2,446.49 and 1,026.81 is: 1,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.91 : 2,446.49 = 1,026.81 : x
  2. Step 2: Convert to fraction form
    1,772.91/2,446.49 = 1,026.81/x
  3. Step 3: Cross multiply
    1,772.91x = 2,446.49 × 1,026.81
  4. Step 4: Simplify right side
    1,772.91x = 2,512,070.73
  5. Step 5: Solve for x
    x = 2,512,070.73/1,772.91
  6. Step 6: Final answer
    x = 1,416.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.