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Finding the Fourth Proportional to 2,419.05, 3,335.47 and 1,828.56

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Solution

The fourth proportional to 2,419.05, 3,335.47 and 1,828.56 is: 2,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.05 : 3,335.47 = 1,828.56 : x
  2. Step 2: Convert to fraction form
    2,419.05/3,335.47 = 1,828.56/x
  3. Step 3: Cross multiply
    2,419.05x = 3,335.47 × 1,828.56
  4. Step 4: Simplify right side
    2,419.05x = 6,099,107.02
  5. Step 5: Solve for x
    x = 6,099,107.02/2,419.05
  6. Step 6: Final answer
    x = 2,521.28

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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.