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Finding the Fourth Proportional to 2,770.68, 4,156.18 and 1,039.26

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Solution

The fourth proportional to 2,770.68, 4,156.18 and 1,039.26 is: 1,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.68 : 4,156.18 = 1,039.26 : x
  2. Step 2: Convert to fraction form
    2,770.68/4,156.18 = 1,039.26/x
  3. Step 3: Cross multiply
    2,770.68x = 4,156.18 × 1,039.26
  4. Step 4: Simplify right side
    2,770.68x = 4,319,351.63
  5. Step 5: Solve for x
    x = 4,319,351.63/2,770.68
  6. Step 6: Final answer
    x = 1,558.95

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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.