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Finding the Fourth Proportional to 2,419.75, 3,339.26 and 1,315.75

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Solution

The fourth proportional to 2,419.75, 3,339.26 and 1,315.75 is: 1,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.75 : 3,339.26 = 1,315.75 : x
  2. Step 2: Convert to fraction form
    2,419.75/3,339.26 = 1,315.75/x
  3. Step 3: Cross multiply
    2,419.75x = 3,339.26 × 1,315.75
  4. Step 4: Simplify right side
    2,419.75x = 4,393,631.35
  5. Step 5: Solve for x
    x = 4,393,631.35/2,419.75
  6. Step 6: Final answer
    x = 1,815.74

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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.