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Finding the Fourth Proportional to 2,227.09, 3,340.74 and 583.64

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Solution

The fourth proportional to 2,227.09, 3,340.74 and 583.64 is: 875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.09 : 3,340.74 = 583.64 : x
  2. Step 2: Convert to fraction form
    2,227.09/3,340.74 = 583.64/x
  3. Step 3: Cross multiply
    2,227.09x = 3,340.74 × 583.64
  4. Step 4: Simplify right side
    2,227.09x = 1,949,787.51
  5. Step 5: Solve for x
    x = 1,949,787.51/2,227.09
  6. Step 6: Final answer
    x = 875.49

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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.