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Finding the Fourth Proportional to 3,129.14, 4,693.69 and 937.80

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Solution

The fourth proportional to 3,129.14, 4,693.69 and 937.80 is: 1,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.14 : 4,693.69 = 937.80 : x
  2. Step 2: Convert to fraction form
    3,129.14/4,693.69 = 937.80/x
  3. Step 3: Cross multiply
    3,129.14x = 4,693.69 × 937.80
  4. Step 4: Simplify right side
    3,129.14x = 4,401,742.48
  5. Step 5: Solve for x
    x = 4,401,742.48/3,129.14
  6. Step 6: Final answer
    x = 1,406.69

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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.