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Finding the Fourth Proportional to 2,331.25, 3,496.89 and 599.89

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Solution

The fourth proportional to 2,331.25, 3,496.89 and 599.89 is: 899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.25 : 3,496.89 = 599.89 : x
  2. Step 2: Convert to fraction form
    2,331.25/3,496.89 = 599.89/x
  3. Step 3: Cross multiply
    2,331.25x = 3,496.89 × 599.89
  4. Step 4: Simplify right side
    2,331.25x = 2,097,749.34
  5. Step 5: Solve for x
    x = 2,097,749.34/2,331.25
  6. Step 6: Final answer
    x = 899.84

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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.