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Finding the Fourth Proportional to 2,718.15, 4,076.61 and 1,256.50

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Solution

The fourth proportional to 2,718.15, 4,076.61 and 1,256.50 is: 1,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.15 : 4,076.61 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    2,718.15/4,076.61 = 1,256.50/x
  3. Step 3: Cross multiply
    2,718.15x = 4,076.61 × 1,256.50
  4. Step 4: Simplify right side
    2,718.15x = 5,122,260.47
  5. Step 5: Solve for x
    x = 5,122,260.47/2,718.15
  6. Step 6: Final answer
    x = 1,884.47

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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.