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Finding the Fourth Proportional to 2,328.93, 3,493.97 and 1,159.49

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Solution

The fourth proportional to 2,328.93, 3,493.97 and 1,159.49 is: 1,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.93 : 3,493.97 = 1,159.49 : x
  2. Step 2: Convert to fraction form
    2,328.93/3,493.97 = 1,159.49/x
  3. Step 3: Cross multiply
    2,328.93x = 3,493.97 × 1,159.49
  4. Step 4: Simplify right side
    2,328.93x = 4,051,200.01
  5. Step 5: Solve for x
    x = 4,051,200.01/2,328.93
  6. Step 6: Final answer
    x = 1,739.51

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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.