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Finding the Fourth Proportional to 1,284.78, 1,930.43 and 1,232.89

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Solution

The fourth proportional to 1,284.78, 1,930.43 and 1,232.89 is: 1,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,930.43 = 1,232.89 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,930.43 = 1,232.89/x
  3. Step 3: Cross multiply
    1,284.78x = 1,930.43 × 1,232.89
  4. Step 4: Simplify right side
    1,284.78x = 2,379,999.16
  5. Step 5: Solve for x
    x = 2,379,999.16/1,284.78
  6. Step 6: Final answer
    x = 1,852.45

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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.