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Finding the Fourth Proportional to 2,404.94, 3,607.92 and 761.50

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Solution

The fourth proportional to 2,404.94, 3,607.92 and 761.50 is: 1,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.94 : 3,607.92 = 761.50 : x
  2. Step 2: Convert to fraction form
    2,404.94/3,607.92 = 761.50/x
  3. Step 3: Cross multiply
    2,404.94x = 3,607.92 × 761.50
  4. Step 4: Simplify right side
    2,404.94x = 2,747,433.45
  5. Step 5: Solve for x
    x = 2,747,433.45/2,404.94
  6. Step 6: Final answer
    x = 1,142.41

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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.