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Finding the Fourth Proportional to 2,718.56, 4,077.72 and 770.72

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Solution

The fourth proportional to 2,718.56, 4,077.72 and 770.72 is: 1,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.56 : 4,077.72 = 770.72 : x
  2. Step 2: Convert to fraction form
    2,718.56/4,077.72 = 770.72/x
  3. Step 3: Cross multiply
    2,718.56x = 4,077.72 × 770.72
  4. Step 4: Simplify right side
    2,718.56x = 3,142,780.36
  5. Step 5: Solve for x
    x = 3,142,780.36/2,718.56
  6. Step 6: Final answer
    x = 1,156.05

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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.