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Finding the Fourth Proportional to 2,036.61, 3,054.24 and 803.70

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Solution

The fourth proportional to 2,036.61, 3,054.24 and 803.70 is: 1,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.61 : 3,054.24 = 803.70 : x
  2. Step 2: Convert to fraction form
    2,036.61/3,054.24 = 803.70/x
  3. Step 3: Cross multiply
    2,036.61x = 3,054.24 × 803.70
  4. Step 4: Simplify right side
    2,036.61x = 2,454,692.69
  5. Step 5: Solve for x
    x = 2,454,692.69/2,036.61
  6. Step 6: Final answer
    x = 1,205.28

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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.