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Finding the Fourth Proportional to 2,036.83, 3,053.15 and 803.74

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Solution

The fourth proportional to 2,036.83, 3,053.15 and 803.74 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.83 : 3,053.15 = 803.74 : x
  2. Step 2: Convert to fraction form
    2,036.83/3,053.15 = 803.74/x
  3. Step 3: Cross multiply
    2,036.83x = 3,053.15 × 803.74
  4. Step 4: Simplify right side
    2,036.83x = 2,453,938.78
  5. Step 5: Solve for x
    x = 2,453,938.78/2,036.83
  6. Step 6: Final answer
    x = 1,204.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.