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Finding the Fourth Proportional to 2,241.68, 3,358.06 and 1,752.44

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Solution

The fourth proportional to 2,241.68, 3,358.06 and 1,752.44 is: 2,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.68 : 3,358.06 = 1,752.44 : x
  2. Step 2: Convert to fraction form
    2,241.68/3,358.06 = 1,752.44/x
  3. Step 3: Cross multiply
    2,241.68x = 3,358.06 × 1,752.44
  4. Step 4: Simplify right side
    2,241.68x = 5,884,777.50
  5. Step 5: Solve for x
    x = 5,884,777.50/2,241.68
  6. Step 6: Final answer
    x = 2,625.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.