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Finding the Fourth Proportional to 2,084.65, 2,876.23 and 1,233.74

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Solution

The fourth proportional to 2,084.65, 2,876.23 and 1,233.74 is: 1,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.65 : 2,876.23 = 1,233.74 : x
  2. Step 2: Convert to fraction form
    2,084.65/2,876.23 = 1,233.74/x
  3. Step 3: Cross multiply
    2,084.65x = 2,876.23 × 1,233.74
  4. Step 4: Simplify right side
    2,084.65x = 3,548,520.00
  5. Step 5: Solve for x
    x = 3,548,520.00/2,084.65
  6. Step 6: Final answer
    x = 1,702.21

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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.