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Finding the Fourth Proportional to 1,737.64, 2,584.37 and 1,685.80

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Solution

The fourth proportional to 1,737.64, 2,584.37 and 1,685.80 is: 2,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.64 : 2,584.37 = 1,685.80 : x
  2. Step 2: Convert to fraction form
    1,737.64/2,584.37 = 1,685.80/x
  3. Step 3: Cross multiply
    1,737.64x = 2,584.37 × 1,685.80
  4. Step 4: Simplify right side
    1,737.64x = 4,356,730.95
  5. Step 5: Solve for x
    x = 4,356,730.95/1,737.64
  6. Step 6: Final answer
    x = 2,507.27

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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.