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Finding the Fourth Proportional to 2,255.76, 3,111.96 and 1,323.84

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Solution

The fourth proportional to 2,255.76, 3,111.96 and 1,323.84 is: 1,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.76 : 3,111.96 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    2,255.76/3,111.96 = 1,323.84/x
  3. Step 3: Cross multiply
    2,255.76x = 3,111.96 × 1,323.84
  4. Step 4: Simplify right side
    2,255.76x = 4,119,737.13
  5. Step 5: Solve for x
    x = 4,119,737.13/2,255.76
  6. Step 6: Final answer
    x = 1,826.32

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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.