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Finding the Fourth Proportional to 2,419.92, 3,339.11 and 1,357.74

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Solution

The fourth proportional to 2,419.92, 3,339.11 and 1,357.74 is: 1,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.92 : 3,339.11 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    2,419.92/3,339.11 = 1,357.74/x
  3. Step 3: Cross multiply
    2,419.92x = 3,339.11 × 1,357.74
  4. Step 4: Simplify right side
    2,419.92x = 4,533,643.21
  5. Step 5: Solve for x
    x = 4,533,643.21/2,419.92
  6. Step 6: Final answer
    x = 1,873.47

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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.