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Finding the Fourth Proportional to 2,047.34, 3,072.36 and 1,123.56

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Solution

The fourth proportional to 2,047.34, 3,072.36 and 1,123.56 is: 1,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.34 : 3,072.36 = 1,123.56 : x
  2. Step 2: Convert to fraction form
    2,047.34/3,072.36 = 1,123.56/x
  3. Step 3: Cross multiply
    2,047.34x = 3,072.36 × 1,123.56
  4. Step 4: Simplify right side
    2,047.34x = 3,451,980.80
  5. Step 5: Solve for x
    x = 3,451,980.80/2,047.34
  6. Step 6: Final answer
    x = 1,686.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.