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Finding the Fourth Proportional to 3,141.69, 4,339.18 and 2,091.93

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Solution

The fourth proportional to 3,141.69, 4,339.18 and 2,091.93 is: 2,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.69 : 4,339.18 = 2,091.93 : x
  2. Step 2: Convert to fraction form
    3,141.69/4,339.18 = 2,091.93/x
  3. Step 3: Cross multiply
    3,141.69x = 4,339.18 × 2,091.93
  4. Step 4: Simplify right side
    3,141.69x = 9,077,250.36
  5. Step 5: Solve for x
    x = 9,077,250.36/3,141.69
  6. Step 6: Final answer
    x = 2,889.29

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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.