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Finding the Fourth Proportional to 2,442.10, 3,663.83 and 798.45

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Solution

The fourth proportional to 2,442.10, 3,663.83 and 798.45 is: 1,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.10 : 3,663.83 = 798.45 : x
  2. Step 2: Convert to fraction form
    2,442.10/3,663.83 = 798.45/x
  3. Step 3: Cross multiply
    2,442.10x = 3,663.83 × 798.45
  4. Step 4: Simplify right side
    2,442.10x = 2,925,362.75
  5. Step 5: Solve for x
    x = 2,925,362.75/2,442.10
  6. Step 6: Final answer
    x = 1,197.89

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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.