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Finding the Fourth Proportional to 2,269.03, 3,404.08 and 952.06

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Solution

The fourth proportional to 2,269.03, 3,404.08 and 952.06 is: 1,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.03 : 3,404.08 = 952.06 : x
  2. Step 2: Convert to fraction form
    2,269.03/3,404.08 = 952.06/x
  3. Step 3: Cross multiply
    2,269.03x = 3,404.08 × 952.06
  4. Step 4: Simplify right side
    2,269.03x = 3,240,871.38
  5. Step 5: Solve for x
    x = 3,240,871.38/2,269.03
  6. Step 6: Final answer
    x = 1,428.31

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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.