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Finding the Fourth Proportional to 2,812.76, 4,215.71 and 2,117.18

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Solution

The fourth proportional to 2,812.76, 4,215.71 and 2,117.18 is: 3,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.76 : 4,215.71 = 2,117.18 : x
  2. Step 2: Convert to fraction form
    2,812.76/4,215.71 = 2,117.18/x
  3. Step 3: Cross multiply
    2,812.76x = 4,215.71 × 2,117.18
  4. Step 4: Simplify right side
    2,812.76x = 8,925,432.73
  5. Step 5: Solve for x
    x = 8,925,432.73/2,812.76
  6. Step 6: Final answer
    x = 3,173.20

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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.