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Finding the Fourth Proportional to 2,707.65, 4,062.11 and 858.69

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Solution

The fourth proportional to 2,707.65, 4,062.11 and 858.69 is: 1,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.65 : 4,062.11 = 858.69 : x
  2. Step 2: Convert to fraction form
    2,707.65/4,062.11 = 858.69/x
  3. Step 3: Cross multiply
    2,707.65x = 4,062.11 × 858.69
  4. Step 4: Simplify right side
    2,707.65x = 3,488,088.94
  5. Step 5: Solve for x
    x = 3,488,088.94/2,707.65
  6. Step 6: Final answer
    x = 1,288.23

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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.