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Finding the Fourth Proportional to 3,384.69, 4,671.10 and 1,892.58

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Solution

The fourth proportional to 3,384.69, 4,671.10 and 1,892.58 is: 2,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.69 : 4,671.10 = 1,892.58 : x
  2. Step 2: Convert to fraction form
    3,384.69/4,671.10 = 1,892.58/x
  3. Step 3: Cross multiply
    3,384.69x = 4,671.10 × 1,892.58
  4. Step 4: Simplify right side
    3,384.69x = 8,840,430.44
  5. Step 5: Solve for x
    x = 8,840,430.44/3,384.69
  6. Step 6: Final answer
    x = 2,611.89

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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.