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Finding the Fourth Proportional to 2,356.80, 3,534.72 and 817.92

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Solution

The fourth proportional to 2,356.80, 3,534.72 and 817.92 is: 1,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.80 : 3,534.72 = 817.92 : x
  2. Step 2: Convert to fraction form
    2,356.80/3,534.72 = 817.92/x
  3. Step 3: Cross multiply
    2,356.80x = 3,534.72 × 817.92
  4. Step 4: Simplify right side
    2,356.80x = 2,891,118.18
  5. Step 5: Solve for x
    x = 2,891,118.18/2,356.80
  6. Step 6: Final answer
    x = 1,226.71

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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.