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Finding the Fourth Proportional to 2,756.51, 4,134.77 and 676.52

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Solution

The fourth proportional to 2,756.51, 4,134.77 and 676.52 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.51 : 4,134.77 = 676.52 : x
  2. Step 2: Convert to fraction form
    2,756.51/4,134.77 = 676.52/x
  3. Step 3: Cross multiply
    2,756.51x = 4,134.77 × 676.52
  4. Step 4: Simplify right side
    2,756.51x = 2,797,254.60
  5. Step 5: Solve for x
    x = 2,797,254.60/2,756.51
  6. Step 6: Final answer
    x = 1,014.78

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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.