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Finding the Fourth Proportional to 2,293.98, 3,167.11 and 2,057.51

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Solution

The fourth proportional to 2,293.98, 3,167.11 and 2,057.51 is: 2,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.98 : 3,167.11 = 2,057.51 : x
  2. Step 2: Convert to fraction form
    2,293.98/3,167.11 = 2,057.51/x
  3. Step 3: Cross multiply
    2,293.98x = 3,167.11 × 2,057.51
  4. Step 4: Simplify right side
    2,293.98x = 6,516,364.97
  5. Step 5: Solve for x
    x = 6,516,364.97/2,293.98
  6. Step 6: Final answer
    x = 2,840.64

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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.