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Finding the Fourth Proportional to 1,245.93, 1,872.54 and 1,155.42

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Solution

The fourth proportional to 1,245.93, 1,872.54 and 1,155.42 is: 1,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.93 : 1,872.54 = 1,155.42 : x
  2. Step 2: Convert to fraction form
    1,245.93/1,872.54 = 1,155.42/x
  3. Step 3: Cross multiply
    1,245.93x = 1,872.54 × 1,155.42
  4. Step 4: Simplify right side
    1,245.93x = 2,163,570.17
  5. Step 5: Solve for x
    x = 2,163,570.17/1,245.93
  6. Step 6: Final answer
    x = 1,736.51

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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.