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Finding the Fourth Proportional to 1,887.62, 2,604.80 and 1,142.00

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Solution

The fourth proportional to 1,887.62, 2,604.80 and 1,142.00 is: 1,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.62 : 2,604.80 = 1,142.00 : x
  2. Step 2: Convert to fraction form
    1,887.62/2,604.80 = 1,142.00/x
  3. Step 3: Cross multiply
    1,887.62x = 2,604.80 × 1,142.00
  4. Step 4: Simplify right side
    1,887.62x = 2,974,665.72
  5. Step 5: Solve for x
    x = 2,974,665.72/1,887.62
  6. Step 6: Final answer
    x = 1,575.88

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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.