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Finding the Fourth Proportional to 2,720.47, 4,081.38 and 772.69

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Solution

The fourth proportional to 2,720.47, 4,081.38 and 772.69 is: 1,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.47 : 4,081.38 = 772.69 : x
  2. Step 2: Convert to fraction form
    2,720.47/4,081.38 = 772.69/x
  3. Step 3: Cross multiply
    2,720.47x = 4,081.38 × 772.69
  4. Step 4: Simplify right side
    2,720.47x = 3,153,641.51
  5. Step 5: Solve for x
    x = 3,153,641.51/2,720.47
  6. Step 6: Final answer
    x = 1,159.23

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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.