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Finding the Fourth Proportional to 2,377.86, 3,282.60 and 1,383

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Solution

The fourth proportional to 2,377.86, 3,282.60 and 1,383 is: 1,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.86 : 3,282.60 = 1,383 : x
  2. Step 2: Convert to fraction form
    2,377.86/3,282.60 = 1,383/x
  3. Step 3: Cross multiply
    2,377.86x = 3,282.60 × 1,383
  4. Step 4: Simplify right side
    2,377.86x = 4,539,835.80
  5. Step 5: Solve for x
    x = 4,539,835.80/2,377.86
  6. Step 6: Final answer
    x = 1,909.21

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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.