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Finding the Fourth Proportional to 1,265.06, 1,895.16 and 1,060.94

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Solution

The fourth proportional to 1,265.06, 1,895.16 and 1,060.94 is: 1,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.06 : 1,895.16 = 1,060.94 : x
  2. Step 2: Convert to fraction form
    1,265.06/1,895.16 = 1,060.94/x
  3. Step 3: Cross multiply
    1,265.06x = 1,895.16 × 1,060.94
  4. Step 4: Simplify right side
    1,265.06x = 2,010,651.05
  5. Step 5: Solve for x
    x = 2,010,651.05/1,265.06
  6. Step 6: Final answer
    x = 1,589.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.