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Finding the Fourth Proportional to 2,356.49, 3,520.84 and 2,274.71

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Solution

The fourth proportional to 2,356.49, 3,520.84 and 2,274.71 is: 3,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.49 : 3,520.84 = 2,274.71 : x
  2. Step 2: Convert to fraction form
    2,356.49/3,520.84 = 2,274.71/x
  3. Step 3: Cross multiply
    2,356.49x = 3,520.84 × 2,274.71
  4. Step 4: Simplify right side
    2,356.49x = 8,008,887.23
  5. Step 5: Solve for x
    x = 8,008,887.23/2,356.49
  6. Step 6: Final answer
    x = 3,398.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.