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Finding the Fourth Proportional to 2,242.84, 3,362.87 and 1,073.20

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Solution

The fourth proportional to 2,242.84, 3,362.87 and 1,073.20 is: 1,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.84 : 3,362.87 = 1,073.20 : x
  2. Step 2: Convert to fraction form
    2,242.84/3,362.87 = 1,073.20/x
  3. Step 3: Cross multiply
    2,242.84x = 3,362.87 × 1,073.20
  4. Step 4: Simplify right side
    2,242.84x = 3,609,032.08
  5. Step 5: Solve for x
    x = 3,609,032.08/2,242.84
  6. Step 6: Final answer
    x = 1,609.13

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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.