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Finding the Fourth Proportional to 2,738.24, 4,106.49 and 888.92

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Solution

The fourth proportional to 2,738.24, 4,106.49 and 888.92 is: 1,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.24 : 4,106.49 = 888.92 : x
  2. Step 2: Convert to fraction form
    2,738.24/4,106.49 = 888.92/x
  3. Step 3: Cross multiply
    2,738.24x = 4,106.49 × 888.92
  4. Step 4: Simplify right side
    2,738.24x = 3,650,341.09
  5. Step 5: Solve for x
    x = 3,650,341.09/2,738.24
  6. Step 6: Final answer
    x = 1,333.10

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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.