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Finding the Fourth Proportional to 3,041.68, 4,562.40 and 850.52

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Solution

The fourth proportional to 3,041.68, 4,562.40 and 850.52 is: 1,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.68 : 4,562.40 = 850.52 : x
  2. Step 2: Convert to fraction form
    3,041.68/4,562.40 = 850.52/x
  3. Step 3: Cross multiply
    3,041.68x = 4,562.40 × 850.52
  4. Step 4: Simplify right side
    3,041.68x = 3,880,412.45
  5. Step 5: Solve for x
    x = 3,880,412.45/3,041.68
  6. Step 6: Final answer
    x = 1,275.75

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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.