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Finding the Fourth Proportional to 2,649.34, 3,973.08 and 774.72

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Solution

The fourth proportional to 2,649.34, 3,973.08 and 774.72 is: 1,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.34 : 3,973.08 = 774.72 : x
  2. Step 2: Convert to fraction form
    2,649.34/3,973.08 = 774.72/x
  3. Step 3: Cross multiply
    2,649.34x = 3,973.08 × 774.72
  4. Step 4: Simplify right side
    2,649.34x = 3,078,034.47
  5. Step 5: Solve for x
    x = 3,078,034.47/2,649.34
  6. Step 6: Final answer
    x = 1,161.81

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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.