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Finding the Fourth Proportional to 1,712.81, 2,363.66 and 926.85

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Solution

The fourth proportional to 1,712.81, 2,363.66 and 926.85 is: 1,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.81 : 2,363.66 = 926.85 : x
  2. Step 2: Convert to fraction form
    1,712.81/2,363.66 = 926.85/x
  3. Step 3: Cross multiply
    1,712.81x = 2,363.66 × 926.85
  4. Step 4: Simplify right side
    1,712.81x = 2,190,753.64
  5. Step 5: Solve for x
    x = 2,190,753.64/1,712.81
  6. Step 6: Final answer
    x = 1,279.04

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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.