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Finding the Fourth Proportional to 2,234.84, 3,084.05 and 1,240.12

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Solution

The fourth proportional to 2,234.84, 3,084.05 and 1,240.12 is: 1,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.84 : 3,084.05 = 1,240.12 : x
  2. Step 2: Convert to fraction form
    2,234.84/3,084.05 = 1,240.12/x
  3. Step 3: Cross multiply
    2,234.84x = 3,084.05 × 1,240.12
  4. Step 4: Simplify right side
    2,234.84x = 3,824,587.48
  5. Step 5: Solve for x
    x = 3,824,587.48/2,234.84
  6. Step 6: Final answer
    x = 1,711.35

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