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Finding the Fourth Proportional to 2,987.81, 4,481.72 and 907.83

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Solution

The fourth proportional to 2,987.81, 4,481.72 and 907.83 is: 1,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.81 : 4,481.72 = 907.83 : x
  2. Step 2: Convert to fraction form
    2,987.81/4,481.72 = 907.83/x
  3. Step 3: Cross multiply
    2,987.81x = 4,481.72 × 907.83
  4. Step 4: Simplify right side
    2,987.81x = 4,068,617.46
  5. Step 5: Solve for x
    x = 4,068,617.46/2,987.81
  6. Step 6: Final answer
    x = 1,361.74

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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.