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Finding the Fourth Proportional to 2,273.72, 3,411.03 and 1,041.17

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Solution

The fourth proportional to 2,273.72, 3,411.03 and 1,041.17 is: 1,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.72 : 3,411.03 = 1,041.17 : x
  2. Step 2: Convert to fraction form
    2,273.72/3,411.03 = 1,041.17/x
  3. Step 3: Cross multiply
    2,273.72x = 3,411.03 × 1,041.17
  4. Step 4: Simplify right side
    2,273.72x = 3,551,462.11
  5. Step 5: Solve for x
    x = 3,551,462.11/2,273.72
  6. Step 6: Final answer
    x = 1,561.96

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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.