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Finding the Fourth Proportional to 1,889.90, 2,606.76 and 1,142.56

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Solution

The fourth proportional to 1,889.90, 2,606.76 and 1,142.56 is: 1,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.90 : 2,606.76 = 1,142.56 : x
  2. Step 2: Convert to fraction form
    1,889.90/2,606.76 = 1,142.56/x
  3. Step 3: Cross multiply
    1,889.90x = 2,606.76 × 1,142.56
  4. Step 4: Simplify right side
    1,889.90x = 2,978,373.19
  5. Step 5: Solve for x
    x = 2,978,373.19/1,889.90
  6. Step 6: Final answer
    x = 1,575.95

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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.