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Finding the Fourth Proportional to 2,023.60, 3,036.42 and 997.60

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Solution

The fourth proportional to 2,023.60, 3,036.42 and 997.60 is: 1,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.60 : 3,036.42 = 997.60 : x
  2. Step 2: Convert to fraction form
    2,023.60/3,036.42 = 997.60/x
  3. Step 3: Cross multiply
    2,023.60x = 3,036.42 × 997.60
  4. Step 4: Simplify right side
    2,023.60x = 3,029,132.59
  5. Step 5: Solve for x
    x = 3,029,132.59/2,023.60
  6. Step 6: Final answer
    x = 1,496.90

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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.