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Finding the Fourth Proportional to 2,402.46, 3,603.69 and 2,227.50

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Solution

The fourth proportional to 2,402.46, 3,603.69 and 2,227.50 is: 3,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.46 : 3,603.69 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    2,402.46/3,603.69 = 2,227.50/x
  3. Step 3: Cross multiply
    2,402.46x = 3,603.69 × 2,227.50
  4. Step 4: Simplify right side
    2,402.46x = 8,027,219.48
  5. Step 5: Solve for x
    x = 8,027,219.48/2,402.46
  6. Step 6: Final answer
    x = 3,341.25

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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.