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Finding the Fourth Proportional to 2,242.77, 3,363.95 and 599.26

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Solution

The fourth proportional to 2,242.77, 3,363.95 and 599.26 is: 898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.77 : 3,363.95 = 599.26 : x
  2. Step 2: Convert to fraction form
    2,242.77/3,363.95 = 599.26/x
  3. Step 3: Cross multiply
    2,242.77x = 3,363.95 × 599.26
  4. Step 4: Simplify right side
    2,242.77x = 2,015,880.68
  5. Step 5: Solve for x
    x = 2,015,880.68/2,242.77
  6. Step 6: Final answer
    x = 898.84

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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.