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Finding the Fourth Proportional to 1,900.40, 2,849.25 and 803.93

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Solution

The fourth proportional to 1,900.40, 2,849.25 and 803.93 is: 1,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.40 : 2,849.25 = 803.93 : x
  2. Step 2: Convert to fraction form
    1,900.40/2,849.25 = 803.93/x
  3. Step 3: Cross multiply
    1,900.40x = 2,849.25 × 803.93
  4. Step 4: Simplify right side
    1,900.40x = 2,290,597.55
  5. Step 5: Solve for x
    x = 2,290,597.55/1,900.40
  6. Step 6: Final answer
    x = 1,205.32

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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.