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Finding the Fourth Proportional to 2,974.86, 4,462.93 and 894.71

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Solution

The fourth proportional to 2,974.86, 4,462.93 and 894.71 is: 1,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.86 : 4,462.93 = 894.71 : x
  2. Step 2: Convert to fraction form
    2,974.86/4,462.93 = 894.71/x
  3. Step 3: Cross multiply
    2,974.86x = 4,462.93 × 894.71
  4. Step 4: Simplify right side
    2,974.86x = 3,993,040.38
  5. Step 5: Solve for x
    x = 3,993,040.38/2,974.86
  6. Step 6: Final answer
    x = 1,342.26

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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.