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Finding the Fourth Proportional to 2,356.46, 3,532.52 and 816.38

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Solution

The fourth proportional to 2,356.46, 3,532.52 and 816.38 is: 1,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.46 : 3,532.52 = 816.38 : x
  2. Step 2: Convert to fraction form
    2,356.46/3,532.52 = 816.38/x
  3. Step 3: Cross multiply
    2,356.46x = 3,532.52 × 816.38
  4. Step 4: Simplify right side
    2,356.46x = 2,883,878.68
  5. Step 5: Solve for x
    x = 2,883,878.68/2,356.46
  6. Step 6: Final answer
    x = 1,223.82

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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.