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Finding the Fourth Proportional to 1,737.05, 2,594.09 and 1,642.28

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Solution

The fourth proportional to 1,737.05, 2,594.09 and 1,642.28 is: 2,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.05 : 2,594.09 = 1,642.28 : x
  2. Step 2: Convert to fraction form
    1,737.05/2,594.09 = 1,642.28/x
  3. Step 3: Cross multiply
    1,737.05x = 2,594.09 × 1,642.28
  4. Step 4: Simplify right side
    1,737.05x = 4,260,213.26
  5. Step 5: Solve for x
    x = 4,260,213.26/1,737.05
  6. Step 6: Final answer
    x = 2,452.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.