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Finding the Fourth Proportional to 2,395.66, 3,592.22 and 1,471.64

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Solution

The fourth proportional to 2,395.66, 3,592.22 and 1,471.64 is: 2,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.66 : 3,592.22 = 1,471.64 : x
  2. Step 2: Convert to fraction form
    2,395.66/3,592.22 = 1,471.64/x
  3. Step 3: Cross multiply
    2,395.66x = 3,592.22 × 1,471.64
  4. Step 4: Simplify right side
    2,395.66x = 5,286,454.64
  5. Step 5: Solve for x
    x = 5,286,454.64/2,395.66
  6. Step 6: Final answer
    x = 2,206.68

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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.