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Finding the Fourth Proportional to 2,720.51, 4,080.86 and 772.86

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Solution

The fourth proportional to 2,720.51, 4,080.86 and 772.86 is: 1,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.51 : 4,080.86 = 772.86 : x
  2. Step 2: Convert to fraction form
    2,720.51/4,080.86 = 772.86/x
  3. Step 3: Cross multiply
    2,720.51x = 4,080.86 × 772.86
  4. Step 4: Simplify right side
    2,720.51x = 3,153,933.46
  5. Step 5: Solve for x
    x = 3,153,933.46/2,720.51
  6. Step 6: Final answer
    x = 1,159.32

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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.