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Finding the Fourth Proportional to 2,442.40, 3,340.64 and 2,404.12

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Solution

The fourth proportional to 2,442.40, 3,340.64 and 2,404.12 is: 3,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.40 : 3,340.64 = 2,404.12 : x
  2. Step 2: Convert to fraction form
    2,442.40/3,340.64 = 2,404.12/x
  3. Step 3: Cross multiply
    2,442.40x = 3,340.64 × 2,404.12
  4. Step 4: Simplify right side
    2,442.40x = 8,031,299.44
  5. Step 5: Solve for x
    x = 8,031,299.44/2,442.40
  6. Step 6: Final answer
    x = 3,288.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.