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Finding the Fourth Proportional to 1,712.75, 2,363.59 and 926.79

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Solution

The fourth proportional to 1,712.75, 2,363.59 and 926.79 is: 1,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.75 : 2,363.59 = 926.79 : x
  2. Step 2: Convert to fraction form
    1,712.75/2,363.59 = 926.79/x
  3. Step 3: Cross multiply
    1,712.75x = 2,363.59 × 926.79
  4. Step 4: Simplify right side
    1,712.75x = 2,190,543.87
  5. Step 5: Solve for x
    x = 2,190,543.87/1,712.75
  6. Step 6: Final answer
    x = 1,278.97

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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.