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Finding the Fourth Proportional to 2,036.87, 3,055.52 and 650.42

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Solution

The fourth proportional to 2,036.87, 3,055.52 and 650.42 is: 975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.87 : 3,055.52 = 650.42 : x
  2. Step 2: Convert to fraction form
    2,036.87/3,055.52 = 650.42/x
  3. Step 3: Cross multiply
    2,036.87x = 3,055.52 × 650.42
  4. Step 4: Simplify right side
    2,036.87x = 1,987,352.79
  5. Step 5: Solve for x
    x = 1,987,352.79/2,036.87
  6. Step 6: Final answer
    x = 975.69

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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.