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Finding the Fourth Proportional to 3,099.21, 4,649.50 and 907.81

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Solution

The fourth proportional to 3,099.21, 4,649.50 and 907.81 is: 1,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.21 : 4,649.50 = 907.81 : x
  2. Step 2: Convert to fraction form
    3,099.21/4,649.50 = 907.81/x
  3. Step 3: Cross multiply
    3,099.21x = 4,649.50 × 907.81
  4. Step 4: Simplify right side
    3,099.21x = 4,220,852.11
  5. Step 5: Solve for x
    x = 4,220,852.11/3,099.21
  6. Step 6: Final answer
    x = 1,361.91

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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.