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Finding the Fourth Proportional to 1,647.92, 2,272.20 and 1,315.28

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Solution

The fourth proportional to 1,647.92, 2,272.20 and 1,315.28 is: 1,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.92 : 2,272.20 = 1,315.28 : x
  2. Step 2: Convert to fraction form
    1,647.92/2,272.20 = 1,315.28/x
  3. Step 3: Cross multiply
    1,647.92x = 2,272.20 × 1,315.28
  4. Step 4: Simplify right side
    1,647.92x = 2,988,579.22
  5. Step 5: Solve for x
    x = 2,988,579.22/1,647.92
  6. Step 6: Final answer
    x = 1,813.55

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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.