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Finding the Fourth Proportional to 2,237.76, 3,353.76 and 1,805.76

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Solution

The fourth proportional to 2,237.76, 3,353.76 and 1,805.76 is: 2,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.76 : 3,353.76 = 1,805.76 : x
  2. Step 2: Convert to fraction form
    2,237.76/3,353.76 = 1,805.76/x
  3. Step 3: Cross multiply
    2,237.76x = 3,353.76 × 1,805.76
  4. Step 4: Simplify right side
    2,237.76x = 6,056,085.66
  5. Step 5: Solve for x
    x = 6,056,085.66/2,237.76
  6. Step 6: Final answer
    x = 2,706.32

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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.