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Finding the Fourth Proportional to 2,348.37, 3,522.32 and 616.99

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Solution

The fourth proportional to 2,348.37, 3,522.32 and 616.99 is: 925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.37 : 3,522.32 = 616.99 : x
  2. Step 2: Convert to fraction form
    2,348.37/3,522.32 = 616.99/x
  3. Step 3: Cross multiply
    2,348.37x = 3,522.32 × 616.99
  4. Step 4: Simplify right side
    2,348.37x = 2,173,236.22
  5. Step 5: Solve for x
    x = 2,173,236.22/2,348.37
  6. Step 6: Final answer
    x = 925.42

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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.