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Finding the Fourth Proportional to 2,785.71, 4,176.75 and 911.37

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Solution

The fourth proportional to 2,785.71, 4,176.75 and 911.37 is: 1,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.71 : 4,176.75 = 911.37 : x
  2. Step 2: Convert to fraction form
    2,785.71/4,176.75 = 911.37/x
  3. Step 3: Cross multiply
    2,785.71x = 4,176.75 × 911.37
  4. Step 4: Simplify right side
    2,785.71x = 3,806,564.65
  5. Step 5: Solve for x
    x = 3,806,564.65/2,785.71
  6. Step 6: Final answer
    x = 1,366.46

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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.