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Finding the Fourth Proportional to 1,865.26, 2,798.22 and 769.01

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Solution

The fourth proportional to 1,865.26, 2,798.22 and 769.01 is: 1,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.26 : 2,798.22 = 769.01 : x
  2. Step 2: Convert to fraction form
    1,865.26/2,798.22 = 769.01/x
  3. Step 3: Cross multiply
    1,865.26x = 2,798.22 × 769.01
  4. Step 4: Simplify right side
    1,865.26x = 2,151,859.16
  5. Step 5: Solve for x
    x = 2,151,859.16/1,865.26
  6. Step 6: Final answer
    x = 1,153.65

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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.