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Finding the Fourth Proportional to 2,027.67, 3,041.55 and 931.74

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Solution

The fourth proportional to 2,027.67, 3,041.55 and 931.74 is: 1,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.67 : 3,041.55 = 931.74 : x
  2. Step 2: Convert to fraction form
    2,027.67/3,041.55 = 931.74/x
  3. Step 3: Cross multiply
    2,027.67x = 3,041.55 × 931.74
  4. Step 4: Simplify right side
    2,027.67x = 2,833,933.80
  5. Step 5: Solve for x
    x = 2,833,933.80/2,027.67
  6. Step 6: Final answer
    x = 1,397.63

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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.