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Finding the Fourth Proportional to 2,399.67, 3,594.29 and 1,164.49

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Solution

The fourth proportional to 2,399.67, 3,594.29 and 1,164.49 is: 1,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.67 : 3,594.29 = 1,164.49 : x
  2. Step 2: Convert to fraction form
    2,399.67/3,594.29 = 1,164.49/x
  3. Step 3: Cross multiply
    2,399.67x = 3,594.29 × 1,164.49
  4. Step 4: Simplify right side
    2,399.67x = 4,185,514.76
  5. Step 5: Solve for x
    x = 4,185,514.76/2,399.67
  6. Step 6: Final answer
    x = 1,744.20

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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.