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Finding the Fourth Proportional to 2,383.76, 3,575.63 and 1,084.31

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Solution

The fourth proportional to 2,383.76, 3,575.63 and 1,084.31 is: 1,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.76 : 3,575.63 = 1,084.31 : x
  2. Step 2: Convert to fraction form
    2,383.76/3,575.63 = 1,084.31/x
  3. Step 3: Cross multiply
    2,383.76x = 3,575.63 × 1,084.31
  4. Step 4: Simplify right side
    2,383.76x = 3,877,103.02
  5. Step 5: Solve for x
    x = 3,877,103.02/2,383.76
  6. Step 6: Final answer
    x = 1,626.47

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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.