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Finding the Fourth Proportional to 3,003.78, 4,507.02 and 1,907.85

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Solution

The fourth proportional to 3,003.78, 4,507.02 and 1,907.85 is: 2,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.78 : 4,507.02 = 1,907.85 : x
  2. Step 2: Convert to fraction form
    3,003.78/4,507.02 = 1,907.85/x
  3. Step 3: Cross multiply
    3,003.78x = 4,507.02 × 1,907.85
  4. Step 4: Simplify right side
    3,003.78x = 8,598,718.11
  5. Step 5: Solve for x
    x = 8,598,718.11/3,003.78
  6. Step 6: Final answer
    x = 2,862.63

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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.