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Finding the Fourth Proportional to 2,036.49, 3,056.01 and 803.70

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Solution

The fourth proportional to 2,036.49, 3,056.01 and 803.70 is: 1,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.49 : 3,056.01 = 803.70 : x
  2. Step 2: Convert to fraction form
    2,036.49/3,056.01 = 803.70/x
  3. Step 3: Cross multiply
    2,036.49x = 3,056.01 × 803.70
  4. Step 4: Simplify right side
    2,036.49x = 2,456,115.24
  5. Step 5: Solve for x
    x = 2,456,115.24/2,036.49
  6. Step 6: Final answer
    x = 1,206.05

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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.