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Finding the Fourth Proportional to 2,454.42, 3,679.36 and 894.06

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Solution

The fourth proportional to 2,454.42, 3,679.36 and 894.06 is: 1,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.42 : 3,679.36 = 894.06 : x
  2. Step 2: Convert to fraction form
    2,454.42/3,679.36 = 894.06/x
  3. Step 3: Cross multiply
    2,454.42x = 3,679.36 × 894.06
  4. Step 4: Simplify right side
    2,454.42x = 3,289,568.60
  5. Step 5: Solve for x
    x = 3,289,568.60/2,454.42
  6. Step 6: Final answer
    x = 1,340.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.