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Finding the Fourth Proportional to 2,037.43, 3,056.30 and 650.96

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Solution

The fourth proportional to 2,037.43, 3,056.30 and 650.96 is: 976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.43 : 3,056.30 = 650.96 : x
  2. Step 2: Convert to fraction form
    2,037.43/3,056.30 = 650.96/x
  3. Step 3: Cross multiply
    2,037.43x = 3,056.30 × 650.96
  4. Step 4: Simplify right side
    2,037.43x = 1,989,533.81
  5. Step 5: Solve for x
    x = 1,989,533.81/2,037.43
  6. Step 6: Final answer
    x = 976.49

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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.