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Finding the Fourth Proportional to 2,242.78, 3,364.34 and 599.32

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Solution

The fourth proportional to 2,242.78, 3,364.34 and 599.32 is: 899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.78 : 3,364.34 = 599.32 : x
  2. Step 2: Convert to fraction form
    2,242.78/3,364.34 = 599.32/x
  3. Step 3: Cross multiply
    2,242.78x = 3,364.34 × 599.32
  4. Step 4: Simplify right side
    2,242.78x = 2,016,316.25
  5. Step 5: Solve for x
    x = 2,016,316.25/2,242.78
  6. Step 6: Final answer
    x = 899.03

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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.