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Finding the Fourth Proportional to 1,902.93, 2,851.79 and 1,208.35

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Solution

The fourth proportional to 1,902.93, 2,851.79 and 1,208.35 is: 1,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.93 : 2,851.79 = 1,208.35 : x
  2. Step 2: Convert to fraction form
    1,902.93/2,851.79 = 1,208.35/x
  3. Step 3: Cross multiply
    1,902.93x = 2,851.79 × 1,208.35
  4. Step 4: Simplify right side
    1,902.93x = 3,445,960.45
  5. Step 5: Solve for x
    x = 3,445,960.45/1,902.93
  6. Step 6: Final answer
    x = 1,810.87

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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.