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Finding the Fourth Proportional to 2,404.22, 3,605.95 and 761.16

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Solution

The fourth proportional to 2,404.22, 3,605.95 and 761.16 is: 1,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.22 : 3,605.95 = 761.16 : x
  2. Step 2: Convert to fraction form
    2,404.22/3,605.95 = 761.16/x
  3. Step 3: Cross multiply
    2,404.22x = 3,605.95 × 761.16
  4. Step 4: Simplify right side
    2,404.22x = 2,744,688.95
  5. Step 5: Solve for x
    x = 2,744,688.95/2,404.22
  6. Step 6: Final answer
    x = 1,141.61

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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.