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Finding the Fourth Proportional to 2,419.77, 3,339.83 and 1,535.42

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Solution

The fourth proportional to 2,419.77, 3,339.83 and 1,535.42 is: 2,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.77 : 3,339.83 = 1,535.42 : x
  2. Step 2: Convert to fraction form
    2,419.77/3,339.83 = 1,535.42/x
  3. Step 3: Cross multiply
    2,419.77x = 3,339.83 × 1,535.42
  4. Step 4: Simplify right side
    2,419.77x = 5,128,053.97
  5. Step 5: Solve for x
    x = 5,128,053.97/2,419.77
  6. Step 6: Final answer
    x = 2,119.23

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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.