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Finding the Fourth Proportional to 3,411.31, 4,707.42 and 1,919.29

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Solution

The fourth proportional to 3,411.31, 4,707.42 and 1,919.29 is: 2,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.31 : 4,707.42 = 1,919.29 : x
  2. Step 2: Convert to fraction form
    3,411.31/4,707.42 = 1,919.29/x
  3. Step 3: Cross multiply
    3,411.31x = 4,707.42 × 1,919.29
  4. Step 4: Simplify right side
    3,411.31x = 9,034,904.13
  5. Step 5: Solve for x
    x = 9,034,904.13/3,411.31
  6. Step 6: Final answer
    x = 2,648.51

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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.