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Finding the Fourth Proportional to 1,901.50, 2,850.10 and 1,437.78

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Solution

The fourth proportional to 1,901.50, 2,850.10 and 1,437.78 is: 2,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.50 : 2,850.10 = 1,437.78 : x
  2. Step 2: Convert to fraction form
    1,901.50/2,850.10 = 1,437.78/x
  3. Step 3: Cross multiply
    1,901.50x = 2,850.10 × 1,437.78
  4. Step 4: Simplify right side
    1,901.50x = 4,097,816.78
  5. Step 5: Solve for x
    x = 4,097,816.78/1,901.50
  6. Step 6: Final answer
    x = 2,155.04

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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.