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Finding the Fourth Proportional to 2,341.82, 3,512.73 and 2,199.26

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Solution

The fourth proportional to 2,341.82, 3,512.73 and 2,199.26 is: 3,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.82 : 3,512.73 = 2,199.26 : x
  2. Step 2: Convert to fraction form
    2,341.82/3,512.73 = 2,199.26/x
  3. Step 3: Cross multiply
    2,341.82x = 3,512.73 × 2,199.26
  4. Step 4: Simplify right side
    2,341.82x = 7,725,406.58
  5. Step 5: Solve for x
    x = 7,725,406.58/2,341.82
  6. Step 6: Final answer
    x = 3,298.89

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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.