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Finding the Fourth Proportional to 3,099.23, 4,648.93 and 907.96

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Solution

The fourth proportional to 3,099.23, 4,648.93 and 907.96 is: 1,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.23 : 4,648.93 = 907.96 : x
  2. Step 2: Convert to fraction form
    3,099.23/4,648.93 = 907.96/x
  3. Step 3: Cross multiply
    3,099.23x = 4,648.93 × 907.96
  4. Step 4: Simplify right side
    3,099.23x = 4,221,044.75
  5. Step 5: Solve for x
    x = 4,221,044.75/3,099.23
  6. Step 6: Final answer
    x = 1,361.97

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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.