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Finding the Fourth Proportional to 2,242.23, 3,362.94 and 780.72

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Solution

The fourth proportional to 2,242.23, 3,362.94 and 780.72 is: 1,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.23 : 3,362.94 = 780.72 : x
  2. Step 2: Convert to fraction form
    2,242.23/3,362.94 = 780.72/x
  3. Step 3: Cross multiply
    2,242.23x = 3,362.94 × 780.72
  4. Step 4: Simplify right side
    2,242.23x = 2,625,514.52
  5. Step 5: Solve for x
    x = 2,625,514.52/2,242.23
  6. Step 6: Final answer
    x = 1,170.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.