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Finding the Fourth Proportional to 2,243.93, 3,366.18 and 782.88

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Solution

The fourth proportional to 2,243.93, 3,366.18 and 782.88 is: 1,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.93 : 3,366.18 = 782.88 : x
  2. Step 2: Convert to fraction form
    2,243.93/3,366.18 = 782.88/x
  3. Step 3: Cross multiply
    2,243.93x = 3,366.18 × 782.88
  4. Step 4: Simplify right side
    2,243.93x = 2,635,315.00
  5. Step 5: Solve for x
    x = 2,635,315.00/2,243.93
  6. Step 6: Final answer
    x = 1,174.42

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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.