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Finding the Fourth Proportional to 2,036.59, 3,054.87 and 737.75

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Solution

The fourth proportional to 2,036.59, 3,054.87 and 737.75 is: 1,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.59 : 3,054.87 = 737.75 : x
  2. Step 2: Convert to fraction form
    2,036.59/3,054.87 = 737.75/x
  3. Step 3: Cross multiply
    2,036.59x = 3,054.87 × 737.75
  4. Step 4: Simplify right side
    2,036.59x = 2,253,730.34
  5. Step 5: Solve for x
    x = 2,253,730.34/2,036.59
  6. Step 6: Final answer
    x = 1,106.62

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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.