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Finding the Fourth Proportional to 2,393.46, 3,592.02 and 1,095.84

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Solution

The fourth proportional to 2,393.46, 3,592.02 and 1,095.84 is: 1,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.46 : 3,592.02 = 1,095.84 : x
  2. Step 2: Convert to fraction form
    2,393.46/3,592.02 = 1,095.84/x
  3. Step 3: Cross multiply
    2,393.46x = 3,592.02 × 1,095.84
  4. Step 4: Simplify right side
    2,393.46x = 3,936,279.20
  5. Step 5: Solve for x
    x = 3,936,279.20/2,393.46
  6. Step 6: Final answer
    x = 1,644.60

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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.