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Finding the Fourth Proportional to 2,718.18, 4,077.61 and 962.77

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Solution

The fourth proportional to 2,718.18, 4,077.61 and 962.77 is: 1,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.18 : 4,077.61 = 962.77 : x
  2. Step 2: Convert to fraction form
    2,718.18/4,077.61 = 962.77/x
  3. Step 3: Cross multiply
    2,718.18x = 4,077.61 × 962.77
  4. Step 4: Simplify right side
    2,718.18x = 3,925,800.58
  5. Step 5: Solve for x
    x = 3,925,800.58/2,718.18
  6. Step 6: Final answer
    x = 1,444.28

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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.