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Finding the Fourth Proportional to 3,184.64, 4,775.98 and 1,104.56

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Solution

The fourth proportional to 3,184.64, 4,775.98 and 1,104.56 is: 1,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.64 : 4,775.98 = 1,104.56 : x
  2. Step 2: Convert to fraction form
    3,184.64/4,775.98 = 1,104.56/x
  3. Step 3: Cross multiply
    3,184.64x = 4,775.98 × 1,104.56
  4. Step 4: Simplify right side
    3,184.64x = 5,275,356.47
  5. Step 5: Solve for x
    x = 5,275,356.47/3,184.64
  6. Step 6: Final answer
    x = 1,656.50

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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.