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Finding the Fourth Proportional to 1,901.40, 2,850.75 and 804.93

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Solution

The fourth proportional to 1,901.40, 2,850.75 and 804.93 is: 1,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.40 : 2,850.75 = 804.93 : x
  2. Step 2: Convert to fraction form
    1,901.40/2,850.75 = 804.93/x
  3. Step 3: Cross multiply
    1,901.40x = 2,850.75 × 804.93
  4. Step 4: Simplify right side
    1,901.40x = 2,294,654.20
  5. Step 5: Solve for x
    x = 2,294,654.20/1,901.40
  6. Step 6: Final answer
    x = 1,206.82

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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.