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Finding the Fourth Proportional to 2,648.55, 3,973.02 and 774.48

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Solution

The fourth proportional to 2,648.55, 3,973.02 and 774.48 is: 1,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.55 : 3,973.02 = 774.48 : x
  2. Step 2: Convert to fraction form
    2,648.55/3,973.02 = 774.48/x
  3. Step 3: Cross multiply
    2,648.55x = 3,973.02 × 774.48
  4. Step 4: Simplify right side
    2,648.55x = 3,077,024.53
  5. Step 5: Solve for x
    x = 3,077,024.53/2,648.55
  6. Step 6: Final answer
    x = 1,161.78

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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.