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Finding the Fourth Proportional to 3,086.19, 4,629.23 and 746.17

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Solution

The fourth proportional to 3,086.19, 4,629.23 and 746.17 is: 1,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.19 : 4,629.23 = 746.17 : x
  2. Step 2: Convert to fraction form
    3,086.19/4,629.23 = 746.17/x
  3. Step 3: Cross multiply
    3,086.19x = 4,629.23 × 746.17
  4. Step 4: Simplify right side
    3,086.19x = 3,454,192.55
  5. Step 5: Solve for x
    x = 3,454,192.55/3,086.19
  6. Step 6: Final answer
    x = 1,119.24

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Similar ratio
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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.