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Finding the Fourth Proportional to 2,107.96, 3,140.30 and 2,013.19

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Solution

The fourth proportional to 2,107.96, 3,140.30 and 2,013.19 is: 2,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.96 : 3,140.30 = 2,013.19 : x
  2. Step 2: Convert to fraction form
    2,107.96/3,140.30 = 2,013.19/x
  3. Step 3: Cross multiply
    2,107.96x = 3,140.30 × 2,013.19
  4. Step 4: Simplify right side
    2,107.96x = 6,322,017.74
  5. Step 5: Solve for x
    x = 6,322,017.74/2,107.96
  6. Step 6: Final answer
    x = 2,999.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.