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Finding the Fourth Proportional to 2,046.96, 3,070.43 and 950.72

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Solution

The fourth proportional to 2,046.96, 3,070.43 and 950.72 is: 1,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.96 : 3,070.43 = 950.72 : x
  2. Step 2: Convert to fraction form
    2,046.96/3,070.43 = 950.72/x
  3. Step 3: Cross multiply
    2,046.96x = 3,070.43 × 950.72
  4. Step 4: Simplify right side
    2,046.96x = 2,919,099.10
  5. Step 5: Solve for x
    x = 2,919,099.10/2,046.96
  6. Step 6: Final answer
    x = 1,426.07

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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.