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Finding the Fourth Proportional to 2,038.66, 3,059.36 and 997.80

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Solution

The fourth proportional to 2,038.66, 3,059.36 and 997.80 is: 1,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.66 : 3,059.36 = 997.80 : x
  2. Step 2: Convert to fraction form
    2,038.66/3,059.36 = 997.80/x
  3. Step 3: Cross multiply
    2,038.66x = 3,059.36 × 997.80
  4. Step 4: Simplify right side
    2,038.66x = 3,052,629.41
  5. Step 5: Solve for x
    x = 3,052,629.41/2,038.66
  6. Step 6: Final answer
    x = 1,497.37

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1.5x scale

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.