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Finding the Fourth Proportional to 2,289.69, 3,434.78 and 729.32

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Solution

The fourth proportional to 2,289.69, 3,434.78 and 729.32 is: 1,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.69 : 3,434.78 = 729.32 : x
  2. Step 2: Convert to fraction form
    2,289.69/3,434.78 = 729.32/x
  3. Step 3: Cross multiply
    2,289.69x = 3,434.78 × 729.32
  4. Step 4: Simplify right side
    2,289.69x = 2,505,061.42
  5. Step 5: Solve for x
    x = 2,505,061.42/2,289.69
  6. Step 6: Final answer
    x = 1,094.06

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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.