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Finding the Fourth Proportional to 2,036.84, 3,055.72 and 650.27

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Solution

The fourth proportional to 2,036.84, 3,055.72 and 650.27 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.84 : 3,055.72 = 650.27 : x
  2. Step 2: Convert to fraction form
    2,036.84/3,055.72 = 650.27/x
  3. Step 3: Cross multiply
    2,036.84x = 3,055.72 × 650.27
  4. Step 4: Simplify right side
    2,036.84x = 1,987,026.14
  5. Step 5: Solve for x
    x = 1,987,026.14/2,036.84
  6. Step 6: Final answer
    x = 975.55

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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.