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Finding the Fourth Proportional to 1,146.54, 1,716.54 and 1,073.89

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Solution

The fourth proportional to 1,146.54, 1,716.54 and 1,073.89 is: 1,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.54 : 1,716.54 = 1,073.89 : x
  2. Step 2: Convert to fraction form
    1,146.54/1,716.54 = 1,073.89/x
  3. Step 3: Cross multiply
    1,146.54x = 1,716.54 × 1,073.89
  4. Step 4: Simplify right side
    1,146.54x = 1,843,375.14
  5. Step 5: Solve for x
    x = 1,843,375.14/1,146.54
  6. Step 6: Final answer
    x = 1,607.77

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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.