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Finding the Fourth Proportional to 2,694.16, 4,041.24 and 845.29

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Solution

The fourth proportional to 2,694.16, 4,041.24 and 845.29 is: 1,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.16 : 4,041.24 = 845.29 : x
  2. Step 2: Convert to fraction form
    2,694.16/4,041.24 = 845.29/x
  3. Step 3: Cross multiply
    2,694.16x = 4,041.24 × 845.29
  4. Step 4: Simplify right side
    2,694.16x = 3,416,019.76
  5. Step 5: Solve for x
    x = 3,416,019.76/2,694.16
  6. Step 6: Final answer
    x = 1,267.94

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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.