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Finding the Fourth Proportional to 4,630.77, 6,944.13 and 2,289.47

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Solution

The fourth proportional to 4,630.77, 6,944.13 and 2,289.47 is: 3,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.77 : 6,944.13 = 2,289.47 : x
  2. Step 2: Convert to fraction form
    4,630.77/6,944.13 = 2,289.47/x
  3. Step 3: Cross multiply
    4,630.77x = 6,944.13 × 2,289.47
  4. Step 4: Simplify right side
    4,630.77x = 15,898,342.59
  5. Step 5: Solve for x
    x = 15,898,342.59/4,630.77
  6. Step 6: Final answer
    x = 3,433.20

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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.