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Finding the Fourth Proportional to 3,430.52, 4,732.52 and 2,014.24

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Solution

The fourth proportional to 3,430.52, 4,732.52 and 2,014.24 is: 2,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.52 : 4,732.52 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    3,430.52/4,732.52 = 2,014.24/x
  3. Step 3: Cross multiply
    3,430.52x = 4,732.52 × 2,014.24
  4. Step 4: Simplify right side
    3,430.52x = 9,532,431.08
  5. Step 5: Solve for x
    x = 9,532,431.08/3,430.52
  6. Step 6: Final answer
    x = 2,778.71

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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.