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Finding the Fourth Proportional to 2,329.24, 3,494.04 and 1,720.48

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Solution

The fourth proportional to 2,329.24, 3,494.04 and 1,720.48 is: 2,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.24 : 3,494.04 = 1,720.48 : x
  2. Step 2: Convert to fraction form
    2,329.24/3,494.04 = 1,720.48/x
  3. Step 3: Cross multiply
    2,329.24x = 3,494.04 × 1,720.48
  4. Step 4: Simplify right side
    2,329.24x = 6,011,425.94
  5. Step 5: Solve for x
    x = 6,011,425.94/2,329.24
  6. Step 6: Final answer
    x = 2,580.85

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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.