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Finding the Fourth Proportional to 2,348.18, 3,522.26 and 593.19

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Solution

The fourth proportional to 2,348.18, 3,522.26 and 593.19 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.18 : 3,522.26 = 593.19 : x
  2. Step 2: Convert to fraction form
    2,348.18/3,522.26 = 593.19/x
  3. Step 3: Cross multiply
    2,348.18x = 3,522.26 × 593.19
  4. Step 4: Simplify right side
    2,348.18x = 2,089,369.41
  5. Step 5: Solve for x
    x = 2,089,369.41/2,348.18
  6. Step 6: Final answer
    x = 889.78

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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.