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Finding the Fourth Proportional to 2,770.60, 4,156.08 and 1,039.12

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Solution

The fourth proportional to 2,770.60, 4,156.08 and 1,039.12 is: 1,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.60 : 4,156.08 = 1,039.12 : x
  2. Step 2: Convert to fraction form
    2,770.60/4,156.08 = 1,039.12/x
  3. Step 3: Cross multiply
    2,770.60x = 4,156.08 × 1,039.12
  4. Step 4: Simplify right side
    2,770.60x = 4,318,665.85
  5. Step 5: Solve for x
    x = 4,318,665.85/2,770.60
  6. Step 6: Final answer
    x = 1,558.75

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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.