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Finding the Fourth Proportional to 2,666.32, 3,999.72 and 691.94

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Solution

The fourth proportional to 2,666.32, 3,999.72 and 691.94 is: 1,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.32 : 3,999.72 = 691.94 : x
  2. Step 2: Convert to fraction form
    2,666.32/3,999.72 = 691.94/x
  3. Step 3: Cross multiply
    2,666.32x = 3,999.72 × 691.94
  4. Step 4: Simplify right side
    2,666.32x = 2,767,566.26
  5. Step 5: Solve for x
    x = 2,767,566.26/2,666.32
  6. Step 6: Final answer
    x = 1,037.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.