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Finding the Fourth Proportional to 1,141.89, 1,574.98 and 1,103.79

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Solution

The fourth proportional to 1,141.89, 1,574.98 and 1,103.79 is: 1,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.89 : 1,574.98 = 1,103.79 : x
  2. Step 2: Convert to fraction form
    1,141.89/1,574.98 = 1,103.79/x
  3. Step 3: Cross multiply
    1,141.89x = 1,574.98 × 1,103.79
  4. Step 4: Simplify right side
    1,141.89x = 1,738,447.17
  5. Step 5: Solve for x
    x = 1,738,447.17/1,141.89
  6. Step 6: Final answer
    x = 1,522.43

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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.