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Finding the Fourth Proportional to 4,118.50, 6,177.76 and 1,040.50

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Solution

The fourth proportional to 4,118.50, 6,177.76 and 1,040.50 is: 1,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.50 : 6,177.76 = 1,040.50 : x
  2. Step 2: Convert to fraction form
    4,118.50/6,177.76 = 1,040.50/x
  3. Step 3: Cross multiply
    4,118.50x = 6,177.76 × 1,040.50
  4. Step 4: Simplify right side
    4,118.50x = 6,427,959.28
  5. Step 5: Solve for x
    x = 6,427,959.28/4,118.50
  6. Step 6: Final answer
    x = 1,560.75

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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.