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Finding the Fourth Proportional to 1,727.66, 2,592.42 and 1,603.70

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Solution

The fourth proportional to 1,727.66, 2,592.42 and 1,603.70 is: 2,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.66 : 2,592.42 = 1,603.70 : x
  2. Step 2: Convert to fraction form
    1,727.66/2,592.42 = 1,603.70/x
  3. Step 3: Cross multiply
    1,727.66x = 2,592.42 × 1,603.70
  4. Step 4: Simplify right side
    1,727.66x = 4,157,463.95
  5. Step 5: Solve for x
    x = 4,157,463.95/1,727.66
  6. Step 6: Final answer
    x = 2,406.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.