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Finding the Fourth Proportional to 2,642, 3,961.72 and 1,254.48

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Solution

The fourth proportional to 2,642, 3,961.72 and 1,254.48 is: 1,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642 : 3,961.72 = 1,254.48 : x
  2. Step 2: Convert to fraction form
    2,642/3,961.72 = 1,254.48/x
  3. Step 3: Cross multiply
    2,642x = 3,961.72 × 1,254.48
  4. Step 4: Simplify right side
    2,642x = 4,969,898.51
  5. Step 5: Solve for x
    x = 4,969,898.51/2,642
  6. Step 6: Final answer
    x = 1,881.11

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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.