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Finding the Fourth Proportional to 3,098.94, 4,649.13 and 907.84

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Solution

The fourth proportional to 3,098.94, 4,649.13 and 907.84 is: 1,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.94 : 4,649.13 = 907.84 : x
  2. Step 2: Convert to fraction form
    3,098.94/4,649.13 = 907.84/x
  3. Step 3: Cross multiply
    3,098.94x = 4,649.13 × 907.84
  4. Step 4: Simplify right side
    3,098.94x = 4,220,658.91
  5. Step 5: Solve for x
    x = 4,220,658.91/3,098.94
  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.