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Finding the Fourth Proportional to 2,292, 3,439.76 and 1,196.68

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Solution

The fourth proportional to 2,292, 3,439.76 and 1,196.68 is: 1,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292 : 3,439.76 = 1,196.68 : x
  2. Step 2: Convert to fraction form
    2,292/3,439.76 = 1,196.68/x
  3. Step 3: Cross multiply
    2,292x = 3,439.76 × 1,196.68
  4. Step 4: Simplify right side
    2,292x = 4,116,292.00
  5. Step 5: Solve for x
    x = 4,116,292.00/2,292
  6. Step 6: Final answer
    x = 1,795.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.