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Finding the Fourth Proportional to 2,722.52, 4,083.98 and 848.17

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Solution

The fourth proportional to 2,722.52, 4,083.98 and 848.17 is: 1,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.52 : 4,083.98 = 848.17 : x
  2. Step 2: Convert to fraction form
    2,722.52/4,083.98 = 848.17/x
  3. Step 3: Cross multiply
    2,722.52x = 4,083.98 × 848.17
  4. Step 4: Simplify right side
    2,722.52x = 3,463,909.32
  5. Step 5: Solve for x
    x = 3,463,909.32/2,722.52
  6. Step 6: Final answer
    x = 1,272.32

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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.