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Finding the Fourth Proportional to 1,367.88, 2,047.56 and 902.53

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Solution

The fourth proportional to 1,367.88, 2,047.56 and 902.53 is: 1,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.88 : 2,047.56 = 902.53 : x
  2. Step 2: Convert to fraction form
    1,367.88/2,047.56 = 902.53/x
  3. Step 3: Cross multiply
    1,367.88x = 2,047.56 × 902.53
  4. Step 4: Simplify right side
    1,367.88x = 1,847,984.33
  5. Step 5: Solve for x
    x = 1,847,984.33/1,367.88
  6. Step 6: Final answer
    x = 1,350.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.