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Finding the Fourth Proportional to 2,702.77, 4,048.68 and 2,084.33

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Solution

The fourth proportional to 2,702.77, 4,048.68 and 2,084.33 is: 3,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.77 : 4,048.68 = 2,084.33 : x
  2. Step 2: Convert to fraction form
    2,702.77/4,048.68 = 2,084.33/x
  3. Step 3: Cross multiply
    2,702.77x = 4,048.68 × 2,084.33
  4. Step 4: Simplify right side
    2,702.77x = 8,438,785.18
  5. Step 5: Solve for x
    x = 8,438,785.18/2,702.77
  6. Step 6: Final answer
    x = 3,122.27

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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.