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Finding the Fourth Proportional to 2,356.92, 3,535.50 and 896.19

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Solution

The fourth proportional to 2,356.92, 3,535.50 and 896.19 is: 1,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.92 : 3,535.50 = 896.19 : x
  2. Step 2: Convert to fraction form
    2,356.92/3,535.50 = 896.19/x
  3. Step 3: Cross multiply
    2,356.92x = 3,535.50 × 896.19
  4. Step 4: Simplify right side
    2,356.92x = 3,168,479.75
  5. Step 5: Solve for x
    x = 3,168,479.75/2,356.92
  6. Step 6: Final answer
    x = 1,344.33

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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.