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Finding the Fourth Proportional to 2,395.34, 3,590.27 and 1,471.56

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Solution

The fourth proportional to 2,395.34, 3,590.27 and 1,471.56 is: 2,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.34 : 3,590.27 = 1,471.56 : x
  2. Step 2: Convert to fraction form
    2,395.34/3,590.27 = 1,471.56/x
  3. Step 3: Cross multiply
    2,395.34x = 3,590.27 × 1,471.56
  4. Step 4: Simplify right side
    2,395.34x = 5,283,297.72
  5. Step 5: Solve for x
    x = 5,283,297.72/2,395.34
  6. Step 6: Final answer
    x = 2,205.66

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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.