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Finding the Fourth Proportional to 2,365.88, 3,544.16 and 2,231.01

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Solution

The fourth proportional to 2,365.88, 3,544.16 and 2,231.01 is: 3,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.88 : 3,544.16 = 2,231.01 : x
  2. Step 2: Convert to fraction form
    2,365.88/3,544.16 = 2,231.01/x
  3. Step 3: Cross multiply
    2,365.88x = 3,544.16 × 2,231.01
  4. Step 4: Simplify right side
    2,365.88x = 7,907,045.25
  5. Step 5: Solve for x
    x = 7,907,045.25/2,365.88
  6. Step 6: Final answer
    x = 3,342.12

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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.