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Finding the Fourth Proportional to 2,771.96, 4,152.13 and 1,732.46

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Solution

The fourth proportional to 2,771.96, 4,152.13 and 1,732.46 is: 2,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 4,152.13 = 1,732.46 : x
  2. Step 2: Convert to fraction form
    2,771.96/4,152.13 = 1,732.46/x
  3. Step 3: Cross multiply
    2,771.96x = 4,152.13 × 1,732.46
  4. Step 4: Simplify right side
    2,771.96x = 7,193,374.05
  5. Step 5: Solve for x
    x = 7,193,374.05/2,771.96
  6. Step 6: Final answer
    x = 2,595.05

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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.