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Finding the Fourth Proportional to 2,977.78, 4,468.16 and 1,335.50

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Solution

The fourth proportional to 2,977.78, 4,468.16 and 1,335.50 is: 2,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.78 : 4,468.16 = 1,335.50 : x
  2. Step 2: Convert to fraction form
    2,977.78/4,468.16 = 1,335.50/x
  3. Step 3: Cross multiply
    2,977.78x = 4,468.16 × 1,335.50
  4. Step 4: Simplify right side
    2,977.78x = 5,967,227.68
  5. Step 5: Solve for x
    x = 5,967,227.68/2,977.78
  6. Step 6: Final answer
    x = 2,003.92

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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.