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Finding the Fourth Proportional to 1,598.41, 2,204.92 and 1,150.27

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Solution

The fourth proportional to 1,598.41, 2,204.92 and 1,150.27 is: 1,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.41 : 2,204.92 = 1,150.27 : x
  2. Step 2: Convert to fraction form
    1,598.41/2,204.92 = 1,150.27/x
  3. Step 3: Cross multiply
    1,598.41x = 2,204.92 × 1,150.27
  4. Step 4: Simplify right side
    1,598.41x = 2,536,253.33
  5. Step 5: Solve for x
    x = 2,536,253.33/1,598.41
  6. Step 6: Final answer
    x = 1,586.74

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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.