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Finding the Fourth Proportional to 2,642.51, 3,963.77 and 1,409.63

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Solution

The fourth proportional to 2,642.51, 3,963.77 and 1,409.63 is: 2,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.51 : 3,963.77 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    2,642.51/3,963.77 = 1,409.63/x
  3. Step 3: Cross multiply
    2,642.51x = 3,963.77 × 1,409.63
  4. Step 4: Simplify right side
    2,642.51x = 5,587,422.24
  5. Step 5: Solve for x
    x = 5,587,422.24/2,642.51
  6. Step 6: Final answer
    x = 2,114.44

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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.