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Finding the Fourth Proportional to 1,902.88, 2,626.20 and 1,157.12

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Solution

The fourth proportional to 1,902.88, 2,626.20 and 1,157.12 is: 1,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.88 : 2,626.20 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    1,902.88/2,626.20 = 1,157.12/x
  3. Step 3: Cross multiply
    1,902.88x = 2,626.20 × 1,157.12
  4. Step 4: Simplify right side
    1,902.88x = 3,038,828.54
  5. Step 5: Solve for x
    x = 3,038,828.54/1,902.88
  6. Step 6: Final answer
    x = 1,596.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.