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Finding the Fourth Proportional to 2,419.78, 3,339.24 and 1,315.78

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Solution

The fourth proportional to 2,419.78, 3,339.24 and 1,315.78 is: 1,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.78 : 3,339.24 = 1,315.78 : x
  2. Step 2: Convert to fraction form
    2,419.78/3,339.24 = 1,315.78/x
  3. Step 3: Cross multiply
    2,419.78x = 3,339.24 × 1,315.78
  4. Step 4: Simplify right side
    2,419.78x = 4,393,705.21
  5. Step 5: Solve for x
    x = 4,393,705.21/2,419.78
  6. Step 6: Final answer
    x = 1,815.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.