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Finding the Fourth Proportional to 2,331.84, 3,495.39 and 1,160.04

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Solution

The fourth proportional to 2,331.84, 3,495.39 and 1,160.04 is: 1,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,495.39 = 1,160.04 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,495.39 = 1,160.04/x
  3. Step 3: Cross multiply
    2,331.84x = 3,495.39 × 1,160.04
  4. Step 4: Simplify right side
    2,331.84x = 4,054,792.22
  5. Step 5: Solve for x
    x = 4,054,792.22/2,331.84
  6. Step 6: Final answer
    x = 1,738.88

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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.