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Finding the Fourth Proportional to 2,479.74, 3,717.01 and 835.71

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Solution

The fourth proportional to 2,479.74, 3,717.01 and 835.71 is: 1,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.74 : 3,717.01 = 835.71 : x
  2. Step 2: Convert to fraction form
    2,479.74/3,717.01 = 835.71/x
  3. Step 3: Cross multiply
    2,479.74x = 3,717.01 × 835.71
  4. Step 4: Simplify right side
    2,479.74x = 3,106,338.25
  5. Step 5: Solve for x
    x = 3,106,338.25/2,479.74
  6. Step 6: Final answer
    x = 1,252.69

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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.