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Finding the Fourth Proportional to 2,330.84, 3,493.90 and 1,159.04

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Solution

The fourth proportional to 2,330.84, 3,493.90 and 1,159.04 is: 1,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.84 : 3,493.90 = 1,159.04 : x
  2. Step 2: Convert to fraction form
    2,330.84/3,493.90 = 1,159.04/x
  3. Step 3: Cross multiply
    2,330.84x = 3,493.90 × 1,159.04
  4. Step 4: Simplify right side
    2,330.84x = 4,049,546.59
  5. Step 5: Solve for x
    x = 4,049,546.59/2,330.84
  6. Step 6: Final answer
    x = 1,737.38

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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.