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Finding the Fourth Proportional to 2,037.25, 3,055.91 and 650.59

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Solution

The fourth proportional to 2,037.25, 3,055.91 and 650.59 is: 975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.25 : 3,055.91 = 650.59 : x
  2. Step 2: Convert to fraction form
    2,037.25/3,055.91 = 650.59/x
  3. Step 3: Cross multiply
    2,037.25x = 3,055.91 × 650.59
  4. Step 4: Simplify right side
    2,037.25x = 1,988,144.49
  5. Step 5: Solve for x
    x = 1,988,144.49/2,037.25
  6. Step 6: Final answer
    x = 975.90

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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.