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Finding the Fourth Proportional to 2,037.72, 3,056.70 and 883.56

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Solution

The fourth proportional to 2,037.72, 3,056.70 and 883.56 is: 1,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.72 : 3,056.70 = 883.56 : x
  2. Step 2: Convert to fraction form
    2,037.72/3,056.70 = 883.56/x
  3. Step 3: Cross multiply
    2,037.72x = 3,056.70 × 883.56
  4. Step 4: Simplify right side
    2,037.72x = 2,700,777.85
  5. Step 5: Solve for x
    x = 2,700,777.85/2,037.72
  6. Step 6: Final answer
    x = 1,325.39

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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.