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Finding the Fourth Proportional to 2,435.57, 3,653.71 and 769.13

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Solution

The fourth proportional to 2,435.57, 3,653.71 and 769.13 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.57 : 3,653.71 = 769.13 : x
  2. Step 2: Convert to fraction form
    2,435.57/3,653.71 = 769.13/x
  3. Step 3: Cross multiply
    2,435.57x = 3,653.71 × 769.13
  4. Step 4: Simplify right side
    2,435.57x = 2,810,164.99
  5. Step 5: Solve for x
    x = 2,810,164.99/2,435.57
  6. Step 6: Final answer
    x = 1,153.80

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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.