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Finding the Fourth Proportional to 2,643.52, 3,648.17 and 1,464.59

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Solution

The fourth proportional to 2,643.52, 3,648.17 and 1,464.59 is: 2,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.52 : 3,648.17 = 1,464.59 : x
  2. Step 2: Convert to fraction form
    2,643.52/3,648.17 = 1,464.59/x
  3. Step 3: Cross multiply
    2,643.52x = 3,648.17 × 1,464.59
  4. Step 4: Simplify right side
    2,643.52x = 5,343,073.30
  5. Step 5: Solve for x
    x = 5,343,073.30/2,643.52
  6. Step 6: Final answer
    x = 2,021.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.