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Finding the Fourth Proportional to 2,348.44, 3,522.87 and 617.06

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Solution

The fourth proportional to 2,348.44, 3,522.87 and 617.06 is: 925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.44 : 3,522.87 = 617.06 : x
  2. Step 2: Convert to fraction form
    2,348.44/3,522.87 = 617.06/x
  3. Step 3: Cross multiply
    2,348.44x = 3,522.87 × 617.06
  4. Step 4: Simplify right side
    2,348.44x = 2,173,830.97
  5. Step 5: Solve for x
    x = 2,173,830.97/2,348.44
  6. Step 6: Final answer
    x = 925.65

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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.