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Finding the Fourth Proportional to 2,356.86, 3,536.10 and 896.43

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Solution

The fourth proportional to 2,356.86, 3,536.10 and 896.43 is: 1,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.86 : 3,536.10 = 896.43 : x
  2. Step 2: Convert to fraction form
    2,356.86/3,536.10 = 896.43/x
  3. Step 3: Cross multiply
    2,356.86x = 3,536.10 × 896.43
  4. Step 4: Simplify right side
    2,356.86x = 3,169,866.12
  5. Step 5: Solve for x
    x = 3,169,866.12/2,356.86
  6. Step 6: Final answer
    x = 1,344.95

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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.