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Finding the Fourth Proportional to 2,037.41, 3,056.42 and 650.29

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Solution

The fourth proportional to 2,037.41, 3,056.42 and 650.29 is: 975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.41 : 3,056.42 = 650.29 : x
  2. Step 2: Convert to fraction form
    2,037.41/3,056.42 = 650.29/x
  3. Step 3: Cross multiply
    2,037.41x = 3,056.42 × 650.29
  4. Step 4: Simplify right side
    2,037.41x = 1,987,559.36
  5. Step 5: Solve for x
    x = 1,987,559.36/2,037.41
  6. Step 6: Final answer
    x = 975.53

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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.