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Finding the Fourth Proportional to 3,164.77, 4,742.69 and 1,497.11

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Solution

The fourth proportional to 3,164.77, 4,742.69 and 1,497.11 is: 2,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.77 : 4,742.69 = 1,497.11 : x
  2. Step 2: Convert to fraction form
    3,164.77/4,742.69 = 1,497.11/x
  3. Step 3: Cross multiply
    3,164.77x = 4,742.69 × 1,497.11
  4. Step 4: Simplify right side
    3,164.77x = 7,100,344.23
  5. Step 5: Solve for x
    x = 7,100,344.23/3,164.77
  6. Step 6: Final answer
    x = 2,243.56

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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.