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Finding the Fourth Proportional to 2,718.31, 4,076.91 and 770.53

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Solution

The fourth proportional to 2,718.31, 4,076.91 and 770.53 is: 1,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.31 : 4,076.91 = 770.53 : x
  2. Step 2: Convert to fraction form
    2,718.31/4,076.91 = 770.53/x
  3. Step 3: Cross multiply
    2,718.31x = 4,076.91 × 770.53
  4. Step 4: Simplify right side
    2,718.31x = 3,141,381.46
  5. Step 5: Solve for x
    x = 3,141,381.46/2,718.31
  6. Step 6: Final answer
    x = 1,155.64

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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.