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Finding the Fourth Proportional to 2,242.45, 3,378.62 and 2,065.33

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Solution

The fourth proportional to 2,242.45, 3,378.62 and 2,065.33 is: 3,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.45 : 3,378.62 = 2,065.33 : x
  2. Step 2: Convert to fraction form
    2,242.45/3,378.62 = 2,065.33/x
  3. Step 3: Cross multiply
    2,242.45x = 3,378.62 × 2,065.33
  4. Step 4: Simplify right side
    2,242.45x = 6,977,965.24
  5. Step 5: Solve for x
    x = 6,977,965.24/2,242.45
  6. Step 6: Final answer
    x = 3,111.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.