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Finding the Fourth Proportional to 2,288.06, 3,431.70 and 749.06

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Solution

The fourth proportional to 2,288.06, 3,431.70 and 749.06 is: 1,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.06 : 3,431.70 = 749.06 : x
  2. Step 2: Convert to fraction form
    2,288.06/3,431.70 = 749.06/x
  3. Step 3: Cross multiply
    2,288.06x = 3,431.70 × 749.06
  4. Step 4: Simplify right side
    2,288.06x = 2,570,549.20
  5. Step 5: Solve for x
    x = 2,570,549.20/2,288.06
  6. Step 6: Final answer
    x = 1,123.46

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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.