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Finding the Fourth Proportional to 2,356.92, 3,532.54 and 968.38

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Solution

The fourth proportional to 2,356.92, 3,532.54 and 968.38 is: 1,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.92 : 3,532.54 = 968.38 : x
  2. Step 2: Convert to fraction form
    2,356.92/3,532.54 = 968.38/x
  3. Step 3: Cross multiply
    2,356.92x = 3,532.54 × 968.38
  4. Step 4: Simplify right side
    2,356.92x = 3,420,841.09
  5. Step 5: Solve for x
    x = 3,420,841.09/2,356.92
  6. Step 6: Final answer
    x = 1,451.40

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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.