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Finding the Fourth Proportional to 1,906.96, 2,860.53 and 591.62

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Solution

The fourth proportional to 1,906.96, 2,860.53 and 591.62 is: 887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.96 : 2,860.53 = 591.62 : x
  2. Step 2: Convert to fraction form
    1,906.96/2,860.53 = 591.62/x
  3. Step 3: Cross multiply
    1,906.96x = 2,860.53 × 591.62
  4. Step 4: Simplify right side
    1,906.96x = 1,692,343.80
  5. Step 5: Solve for x
    x = 1,692,343.80/1,906.96
  6. Step 6: Final answer
    x = 887.46

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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.