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Finding the Fourth Proportional to 2,795.77, 3,856.14 and 1,734.14

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Solution

The fourth proportional to 2,795.77, 3,856.14 and 1,734.14 is: 2,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.77 : 3,856.14 = 1,734.14 : x
  2. Step 2: Convert to fraction form
    2,795.77/3,856.14 = 1,734.14/x
  3. Step 3: Cross multiply
    2,795.77x = 3,856.14 × 1,734.14
  4. Step 4: Simplify right side
    2,795.77x = 6,687,096.26
  5. Step 5: Solve for x
    x = 6,687,096.26/2,795.77
  6. Step 6: Final answer
    x = 2,391.87

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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.