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Finding the Fourth Proportional to 1,712.77, 2,363.74 and 966.46

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Solution

The fourth proportional to 1,712.77, 2,363.74 and 966.46 is: 1,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.77 : 2,363.74 = 966.46 : x
  2. Step 2: Convert to fraction form
    1,712.77/2,363.74 = 966.46/x
  3. Step 3: Cross multiply
    1,712.77x = 2,363.74 × 966.46
  4. Step 4: Simplify right side
    1,712.77x = 2,284,462.31
  5. Step 5: Solve for x
    x = 2,284,462.31/1,712.77
  6. Step 6: Final answer
    x = 1,333.78

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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.