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Finding the Fourth Proportional to 3,091.90, 4,267.02 and 2,042.14

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Solution

The fourth proportional to 3,091.90, 4,267.02 and 2,042.14 is: 2,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.90 : 4,267.02 = 2,042.14 : x
  2. Step 2: Convert to fraction form
    3,091.90/4,267.02 = 2,042.14/x
  3. Step 3: Cross multiply
    3,091.90x = 4,267.02 × 2,042.14
  4. Step 4: Simplify right side
    3,091.90x = 8,713,852.22
  5. Step 5: Solve for x
    x = 8,713,852.22/3,091.90
  6. Step 6: Final answer
    x = 2,818.28

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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.