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Finding the Fourth Proportional to 2,643.24, 3,648.24 and 1,595.28

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Solution

The fourth proportional to 2,643.24, 3,648.24 and 1,595.28 is: 2,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.24 : 3,648.24 = 1,595.28 : x
  2. Step 2: Convert to fraction form
    2,643.24/3,648.24 = 1,595.28/x
  3. Step 3: Cross multiply
    2,643.24x = 3,648.24 × 1,595.28
  4. Step 4: Simplify right side
    2,643.24x = 5,819,964.31
  5. Step 5: Solve for x
    x = 5,819,964.31/2,643.24
  6. Step 6: Final answer
    x = 2,201.83

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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.