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Finding the Fourth Proportional to 2,991.64, 4,486.77 and 882.72

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Solution

The fourth proportional to 2,991.64, 4,486.77 and 882.72 is: 1,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.64 : 4,486.77 = 882.72 : x
  2. Step 2: Convert to fraction form
    2,991.64/4,486.77 = 882.72/x
  3. Step 3: Cross multiply
    2,991.64x = 4,486.77 × 882.72
  4. Step 4: Simplify right side
    2,991.64x = 3,960,561.61
  5. Step 5: Solve for x
    x = 3,960,561.61/2,991.64
  6. Step 6: Final answer
    x = 1,323.88

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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.