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Finding the Fourth Proportional to 2,974.64, 4,462.17 and 894.47

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Solution

The fourth proportional to 2,974.64, 4,462.17 and 894.47 is: 1,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.64 : 4,462.17 = 894.47 : x
  2. Step 2: Convert to fraction form
    2,974.64/4,462.17 = 894.47/x
  3. Step 3: Cross multiply
    2,974.64x = 4,462.17 × 894.47
  4. Step 4: Simplify right side
    2,974.64x = 3,991,291.71
  5. Step 5: Solve for x
    x = 3,991,291.71/2,974.64
  6. Step 6: Final answer
    x = 1,341.78

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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.