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Finding the Fourth Proportional to 1,737.98, 2,605.25 and 1,153.14

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Solution

The fourth proportional to 1,737.98, 2,605.25 and 1,153.14 is: 1,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.98 : 2,605.25 = 1,153.14 : x
  2. Step 2: Convert to fraction form
    1,737.98/2,605.25 = 1,153.14/x
  3. Step 3: Cross multiply
    1,737.98x = 2,605.25 × 1,153.14
  4. Step 4: Simplify right side
    1,737.98x = 3,004,212.22
  5. Step 5: Solve for x
    x = 3,004,212.22/1,737.98
  6. Step 6: Final answer
    x = 1,728.57

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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.