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Finding the Fourth Proportional to 3,478.46, 4,800.24 and 1,906.58

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Solution

The fourth proportional to 3,478.46, 4,800.24 and 1,906.58 is: 2,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.46 : 4,800.24 = 1,906.58 : x
  2. Step 2: Convert to fraction form
    3,478.46/4,800.24 = 1,906.58/x
  3. Step 3: Cross multiply
    3,478.46x = 4,800.24 × 1,906.58
  4. Step 4: Simplify right side
    3,478.46x = 9,152,041.58
  5. Step 5: Solve for x
    x = 9,152,041.58/3,478.46
  6. Step 6: Final answer
    x = 2,631.06

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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.