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Finding the Fourth Proportional to 2,734.09, 4,101.14 and 786.45

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Solution

The fourth proportional to 2,734.09, 4,101.14 and 786.45 is: 1,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.09 : 4,101.14 = 786.45 : x
  2. Step 2: Convert to fraction form
    2,734.09/4,101.14 = 786.45/x
  3. Step 3: Cross multiply
    2,734.09x = 4,101.14 × 786.45
  4. Step 4: Simplify right side
    2,734.09x = 3,225,341.55
  5. Step 5: Solve for x
    x = 3,225,341.55/2,734.09
  6. Step 6: Final answer
    x = 1,179.68

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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.