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Finding the Fourth Proportional to 2,442.51, 3,663 and 798.80

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Solution

The fourth proportional to 2,442.51, 3,663 and 798.80 is: 1,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.51 : 3,663 = 798.80 : x
  2. Step 2: Convert to fraction form
    2,442.51/3,663 = 798.80/x
  3. Step 3: Cross multiply
    2,442.51x = 3,663 × 798.80
  4. Step 4: Simplify right side
    2,442.51x = 2,925,986.09
  5. Step 5: Solve for x
    x = 2,925,986.09/2,442.51
  6. Step 6: Final answer
    x = 1,197.94

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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.