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Finding the Fourth Proportional to 2,642.92, 3,647.52 and 1,648.28

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Solution

The fourth proportional to 2,642.92, 3,647.52 and 1,648.28 is: 2,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.92 : 3,647.52 = 1,648.28 : x
  2. Step 2: Convert to fraction form
    2,642.92/3,647.52 = 1,648.28/x
  3. Step 3: Cross multiply
    2,642.92x = 3,647.52 × 1,648.28
  4. Step 4: Simplify right side
    2,642.92x = 6,012,134.27
  5. Step 5: Solve for x
    x = 6,012,134.27/2,642.92
  6. Step 6: Final answer
    x = 2,274.81

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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.