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Finding the Fourth Proportional to 2,478.25, 3,717.76 and 834.67

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Solution

The fourth proportional to 2,478.25, 3,717.76 and 834.67 is: 1,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.25 : 3,717.76 = 834.67 : x
  2. Step 2: Convert to fraction form
    2,478.25/3,717.76 = 834.67/x
  3. Step 3: Cross multiply
    2,478.25x = 3,717.76 × 834.67
  4. Step 4: Simplify right side
    2,478.25x = 3,103,095.53
  5. Step 5: Solve for x
    x = 3,103,095.53/2,478.25
  6. Step 6: Final answer
    x = 1,252.13

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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.