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Finding the Fourth Proportional to 1,902.02, 2,848.88 and 1,169.38

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Solution

The fourth proportional to 1,902.02, 2,848.88 and 1,169.38 is: 1,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.02 : 2,848.88 = 1,169.38 : x
  2. Step 2: Convert to fraction form
    1,902.02/2,848.88 = 1,169.38/x
  3. Step 3: Cross multiply
    1,902.02x = 2,848.88 × 1,169.38
  4. Step 4: Simplify right side
    1,902.02x = 3,331,419.10
  5. Step 5: Solve for x
    x = 3,331,419.10/1,902.02
  6. Step 6: Final answer
    x = 1,751.51

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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.