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Finding the Fourth Proportional to 2,770.10, 4,155.56 and 991.02

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Solution

The fourth proportional to 2,770.10, 4,155.56 and 991.02 is: 1,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.10 : 4,155.56 = 991.02 : x
  2. Step 2: Convert to fraction form
    2,770.10/4,155.56 = 991.02/x
  3. Step 3: Cross multiply
    2,770.10x = 4,155.56 × 991.02
  4. Step 4: Simplify right side
    2,770.10x = 4,118,245.55
  5. Step 5: Solve for x
    x = 4,118,245.55/2,770.10
  6. Step 6: Final answer
    x = 1,486.68

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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.