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Finding the Fourth Proportional to 2,233.69, 3,349.19 and 1,064.05

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Solution

The fourth proportional to 2,233.69, 3,349.19 and 1,064.05 is: 1,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.69 : 3,349.19 = 1,064.05 : x
  2. Step 2: Convert to fraction form
    2,233.69/3,349.19 = 1,064.05/x
  3. Step 3: Cross multiply
    2,233.69x = 3,349.19 × 1,064.05
  4. Step 4: Simplify right side
    2,233.69x = 3,563,700.30
  5. Step 5: Solve for x
    x = 3,563,700.30/2,233.69
  6. Step 6: Final answer
    x = 1,595.43

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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.