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Finding the Fourth Proportional to 2,708.58, 4,061.96 and 760.33

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Solution

The fourth proportional to 2,708.58, 4,061.96 and 760.33 is: 1,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.58 : 4,061.96 = 760.33 : x
  2. Step 2: Convert to fraction form
    2,708.58/4,061.96 = 760.33/x
  3. Step 3: Cross multiply
    2,708.58x = 4,061.96 × 760.33
  4. Step 4: Simplify right side
    2,708.58x = 3,088,416.09
  5. Step 5: Solve for x
    x = 3,088,416.09/2,708.58
  6. Step 6: Final answer
    x = 1,140.23

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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.