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Finding the Fourth Proportional to 3,041.66, 4,563.26 and 850.40

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Solution

The fourth proportional to 3,041.66, 4,563.26 and 850.40 is: 1,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.66 : 4,563.26 = 850.40 : x
  2. Step 2: Convert to fraction form
    3,041.66/4,563.26 = 850.40/x
  3. Step 3: Cross multiply
    3,041.66x = 4,563.26 × 850.40
  4. Step 4: Simplify right side
    3,041.66x = 3,880,569.24
  5. Step 5: Solve for x
    x = 3,880,569.24/3,041.66
  6. Step 6: Final answer
    x = 1,275.81

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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.