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Finding the Fourth Proportional to 2,266.08, 3,399.47 and 705.76

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Solution

The fourth proportional to 2,266.08, 3,399.47 and 705.76 is: 1,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.08 : 3,399.47 = 705.76 : x
  2. Step 2: Convert to fraction form
    2,266.08/3,399.47 = 705.76/x
  3. Step 3: Cross multiply
    2,266.08x = 3,399.47 × 705.76
  4. Step 4: Simplify right side
    2,266.08x = 2,399,219.69
  5. Step 5: Solve for x
    x = 2,399,219.69/2,266.08
  6. Step 6: Final answer
    x = 1,058.76

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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.