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Finding the Fourth Proportional to 1,480.19, 2,042.78 and 817.18

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Solution

The fourth proportional to 1,480.19, 2,042.78 and 817.18 is: 1,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.19 : 2,042.78 = 817.18 : x
  2. Step 2: Convert to fraction form
    1,480.19/2,042.78 = 817.18/x
  3. Step 3: Cross multiply
    1,480.19x = 2,042.78 × 817.18
  4. Step 4: Simplify right side
    1,480.19x = 1,669,318.96
  5. Step 5: Solve for x
    x = 1,669,318.96/1,480.19
  6. Step 6: Final answer
    x = 1,127.77

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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.