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Finding the Fourth Proportional to 2,041.02, 3,059.67 and 742.17

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Solution

The fourth proportional to 2,041.02, 3,059.67 and 742.17 is: 1,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.02 : 3,059.67 = 742.17 : x
  2. Step 2: Convert to fraction form
    2,041.02/3,059.67 = 742.17/x
  3. Step 3: Cross multiply
    2,041.02x = 3,059.67 × 742.17
  4. Step 4: Simplify right side
    2,041.02x = 2,270,795.28
  5. Step 5: Solve for x
    x = 2,270,795.28/2,041.02
  6. Step 6: Final answer
    x = 1,112.58

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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.