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Finding the Fourth Proportional to 1,887.78, 2,605.20 and 1,141.88

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Solution

The fourth proportional to 1,887.78, 2,605.20 and 1,141.88 is: 1,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.78 : 2,605.20 = 1,141.88 : x
  2. Step 2: Convert to fraction form
    1,887.78/2,605.20 = 1,141.88/x
  3. Step 3: Cross multiply
    1,887.78x = 2,605.20 × 1,141.88
  4. Step 4: Simplify right side
    1,887.78x = 2,974,814.98
  5. Step 5: Solve for x
    x = 2,974,814.98/1,887.78
  6. Step 6: Final answer
    x = 1,575.83

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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.