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Finding the Fourth Proportional to 2,036.28, 3,053.10 and 737.58

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Solution

The fourth proportional to 2,036.28, 3,053.10 and 737.58 is: 1,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.28 : 3,053.10 = 737.58 : x
  2. Step 2: Convert to fraction form
    2,036.28/3,053.10 = 737.58/x
  3. Step 3: Cross multiply
    2,036.28x = 3,053.10 × 737.58
  4. Step 4: Simplify right side
    2,036.28x = 2,251,905.50
  5. Step 5: Solve for x
    x = 2,251,905.50/2,036.28
  6. Step 6: Final answer
    x = 1,105.89

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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.