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Finding the Fourth Proportional to 2,642.51, 3,959.83 and 2,409.12

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Solution

The fourth proportional to 2,642.51, 3,959.83 and 2,409.12 is: 3,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.51 : 3,959.83 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    2,642.51/3,959.83 = 2,409.12/x
  3. Step 3: Cross multiply
    2,642.51x = 3,959.83 × 2,409.12
  4. Step 4: Simplify right side
    2,642.51x = 9,539,705.65
  5. Step 5: Solve for x
    x = 9,539,705.65/2,642.51
  6. Step 6: Final answer
    x = 3,610.09

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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.