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Finding the Fourth Proportional to 2,699.51, 4,042.97 and 2,078.29

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Solution

The fourth proportional to 2,699.51, 4,042.97 and 2,078.29 is: 3,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.51 : 4,042.97 = 2,078.29 : x
  2. Step 2: Convert to fraction form
    2,699.51/4,042.97 = 2,078.29/x
  3. Step 3: Cross multiply
    2,699.51x = 4,042.97 × 2,078.29
  4. Step 4: Simplify right side
    2,699.51x = 8,402,433.52
  5. Step 5: Solve for x
    x = 8,402,433.52/2,699.51
  6. Step 6: Final answer
    x = 3,112.58

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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.