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Finding the Fourth Proportional to 2,341.99, 3,513.75 and 1,109.24

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Solution

The fourth proportional to 2,341.99, 3,513.75 and 1,109.24 is: 1,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.99 : 3,513.75 = 1,109.24 : x
  2. Step 2: Convert to fraction form
    2,341.99/3,513.75 = 1,109.24/x
  3. Step 3: Cross multiply
    2,341.99x = 3,513.75 × 1,109.24
  4. Step 4: Simplify right side
    2,341.99x = 3,897,612.62
  5. Step 5: Solve for x
    x = 3,897,612.62/2,341.99
  6. Step 6: Final answer
    x = 1,664.23

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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.