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Finding the Fourth Proportional to 4,718.78, 7,078.26 and 1,256

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Solution

The fourth proportional to 4,718.78, 7,078.26 and 1,256 is: 1,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.78 : 7,078.26 = 1,256 : x
  2. Step 2: Convert to fraction form
    4,718.78/7,078.26 = 1,256/x
  3. Step 3: Cross multiply
    4,718.78x = 7,078.26 × 1,256
  4. Step 4: Simplify right side
    4,718.78x = 8,890,294.56
  5. Step 5: Solve for x
    x = 8,890,294.56/4,718.78
  6. Step 6: Final answer
    x = 1,884.02

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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.