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Finding the Fourth Proportional to 2,071.78, 2,857.89 and 1,363.66

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Solution

The fourth proportional to 2,071.78, 2,857.89 and 1,363.66 is: 1,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 2,857.89 = 1,363.66 : x
  2. Step 2: Convert to fraction form
    2,071.78/2,857.89 = 1,363.66/x
  3. Step 3: Cross multiply
    2,071.78x = 2,857.89 × 1,363.66
  4. Step 4: Simplify right side
    2,071.78x = 3,897,190.28
  5. Step 5: Solve for x
    x = 3,897,190.28/2,071.78
  6. Step 6: Final answer
    x = 1,881.08

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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.