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Finding the Fourth Proportional to 3,084, 4,255.92 and 2,036.40

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Solution

The fourth proportional to 3,084, 4,255.92 and 2,036.40 is: 2,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,255.92 = 2,036.40 : x
  2. Step 2: Convert to fraction form
    3,084/4,255.92 = 2,036.40/x
  3. Step 3: Cross multiply
    3,084x = 4,255.92 × 2,036.40
  4. Step 4: Simplify right side
    3,084x = 8,666,755.49
  5. Step 5: Solve for x
    x = 8,666,755.49/3,084
  6. Step 6: Final answer
    x = 2,810.23

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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.