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Finding the Fourth Proportional to 2,974.71, 4,462.07 and 894.93

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Solution

The fourth proportional to 2,974.71, 4,462.07 and 894.93 is: 1,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.71 : 4,462.07 = 894.93 : x
  2. Step 2: Convert to fraction form
    2,974.71/4,462.07 = 894.93/x
  3. Step 3: Cross multiply
    2,974.71x = 4,462.07 × 894.93
  4. Step 4: Simplify right side
    2,974.71x = 3,993,240.31
  5. Step 5: Solve for x
    x = 3,993,240.31/2,974.71
  6. Step 6: Final answer
    x = 1,342.40

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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.