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Finding the Fourth Proportional to 2,383.47, 3,575.67 and 997.11

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Solution

The fourth proportional to 2,383.47, 3,575.67 and 997.11 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.47 : 3,575.67 = 997.11 : x
  2. Step 2: Convert to fraction form
    2,383.47/3,575.67 = 997.11/x
  3. Step 3: Cross multiply
    2,383.47x = 3,575.67 × 997.11
  4. Step 4: Simplify right side
    2,383.47x = 3,565,336.31
  5. Step 5: Solve for x
    x = 3,565,336.31/2,383.47
  6. Step 6: Final answer
    x = 1,495.86

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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.