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Finding the Fourth Proportional to 2,648.25, 3,967.21 and 1,415.23

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Solution

The fourth proportional to 2,648.25, 3,967.21 and 1,415.23 is: 2,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.25 : 3,967.21 = 1,415.23 : x
  2. Step 2: Convert to fraction form
    2,648.25/3,967.21 = 1,415.23/x
  3. Step 3: Cross multiply
    2,648.25x = 3,967.21 × 1,415.23
  4. Step 4: Simplify right side
    2,648.25x = 5,614,514.61
  5. Step 5: Solve for x
    x = 5,614,514.61/2,648.25
  6. Step 6: Final answer
    x = 2,120.08

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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.