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Finding the Fourth Proportional to 2,479.70, 3,718.46 and 835.80

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Solution

The fourth proportional to 2,479.70, 3,718.46 and 835.80 is: 1,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.70 : 3,718.46 = 835.80 : x
  2. Step 2: Convert to fraction form
    2,479.70/3,718.46 = 835.80/x
  3. Step 3: Cross multiply
    2,479.70x = 3,718.46 × 835.80
  4. Step 4: Simplify right side
    2,479.70x = 3,107,888.87
  5. Step 5: Solve for x
    x = 3,107,888.87/2,479.70
  6. Step 6: Final answer
    x = 1,253.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.