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Finding the Fourth Proportional to 2,234.68, 3,083.76 and 1,240

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Solution

The fourth proportional to 2,234.68, 3,083.76 and 1,240 is: 1,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.68 : 3,083.76 = 1,240 : x
  2. Step 2: Convert to fraction form
    2,234.68/3,083.76 = 1,240/x
  3. Step 3: Cross multiply
    2,234.68x = 3,083.76 × 1,240
  4. Step 4: Simplify right side
    2,234.68x = 3,823,862.40
  5. Step 5: Solve for x
    x = 3,823,862.40/2,234.68
  6. Step 6: Final answer
    x = 1,711.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.