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Finding the Fourth Proportional to 2,147.94, 3,221.90 and 587.95

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Solution

The fourth proportional to 2,147.94, 3,221.90 and 587.95 is: 881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.94 : 3,221.90 = 587.95 : x
  2. Step 2: Convert to fraction form
    2,147.94/3,221.90 = 587.95/x
  3. Step 3: Cross multiply
    2,147.94x = 3,221.90 × 587.95
  4. Step 4: Simplify right side
    2,147.94x = 1,894,327.64
  5. Step 5: Solve for x
    x = 1,894,327.64/2,147.94
  6. Step 6: Final answer
    x = 881.93

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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.