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Finding the Fourth Proportional to 2,709.48, 3,737.16 and 2,293.68

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Solution

The fourth proportional to 2,709.48, 3,737.16 and 2,293.68 is: 3,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.48 : 3,737.16 = 2,293.68 : x
  2. Step 2: Convert to fraction form
    2,709.48/3,737.16 = 2,293.68/x
  3. Step 3: Cross multiply
    2,709.48x = 3,737.16 × 2,293.68
  4. Step 4: Simplify right side
    2,709.48x = 8,571,849.15
  5. Step 5: Solve for x
    x = 8,571,849.15/2,709.48
  6. Step 6: Final answer
    x = 3,163.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.