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Finding the Fourth Proportional to 3,041.39, 4,562.09 and 850.13

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Solution

The fourth proportional to 3,041.39, 4,562.09 and 850.13 is: 1,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.39 : 4,562.09 = 850.13 : x
  2. Step 2: Convert to fraction form
    3,041.39/4,562.09 = 850.13/x
  3. Step 3: Cross multiply
    3,041.39x = 4,562.09 × 850.13
  4. Step 4: Simplify right side
    3,041.39x = 3,878,388.47
  5. Step 5: Solve for x
    x = 3,878,388.47/3,041.39
  6. Step 6: Final answer
    x = 1,275.20

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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.