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Finding the Fourth Proportional to 1,712.56, 2,363.23 and 966.58

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Solution

The fourth proportional to 1,712.56, 2,363.23 and 966.58 is: 1,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.56 : 2,363.23 = 966.58 : x
  2. Step 2: Convert to fraction form
    1,712.56/2,363.23 = 966.58/x
  3. Step 3: Cross multiply
    1,712.56x = 2,363.23 × 966.58
  4. Step 4: Simplify right side
    1,712.56x = 2,284,250.85
  5. Step 5: Solve for x
    x = 2,284,250.85/1,712.56
  6. Step 6: Final answer
    x = 1,333.82

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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.