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Finding the Fourth Proportional to 1,265.95, 1,896.58 and 1,061.83

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Solution

The fourth proportional to 1,265.95, 1,896.58 and 1,061.83 is: 1,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.95 : 1,896.58 = 1,061.83 : x
  2. Step 2: Convert to fraction form
    1,265.95/1,896.58 = 1,061.83/x
  3. Step 3: Cross multiply
    1,265.95x = 1,896.58 × 1,061.83
  4. Step 4: Simplify right side
    1,265.95x = 2,013,845.54
  5. Step 5: Solve for x
    x = 2,013,845.54/1,265.95
  6. Step 6: Final answer
    x = 1,590.78

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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.