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Finding the Fourth Proportional to 3,014.33, 4,159.81 and 1,737.91

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Solution

The fourth proportional to 3,014.33, 4,159.81 and 1,737.91 is: 2,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.33 : 4,159.81 = 1,737.91 : x
  2. Step 2: Convert to fraction form
    3,014.33/4,159.81 = 1,737.91/x
  3. Step 3: Cross multiply
    3,014.33x = 4,159.81 × 1,737.91
  4. Step 4: Simplify right side
    3,014.33x = 7,229,399.36
  5. Step 5: Solve for x
    x = 7,229,399.36/3,014.33
  6. Step 6: Final answer
    x = 2,398.34

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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.