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Finding the Fourth Proportional to 2,222.61, 3,335.58 and 837.31

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Solution

The fourth proportional to 2,222.61, 3,335.58 and 837.31 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.61 : 3,335.58 = 837.31 : x
  2. Step 2: Convert to fraction form
    2,222.61/3,335.58 = 837.31/x
  3. Step 3: Cross multiply
    2,222.61x = 3,335.58 × 837.31
  4. Step 4: Simplify right side
    2,222.61x = 2,792,914.49
  5. Step 5: Solve for x
    x = 2,792,914.49/2,222.61
  6. Step 6: Final answer
    x = 1,256.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.