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Finding the Fourth Proportional to 2,354.18, 3,531.39 and 622.82

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Solution

The fourth proportional to 2,354.18, 3,531.39 and 622.82 is: 934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.18 : 3,531.39 = 622.82 : x
  2. Step 2: Convert to fraction form
    2,354.18/3,531.39 = 622.82/x
  3. Step 3: Cross multiply
    2,354.18x = 3,531.39 × 622.82
  4. Step 4: Simplify right side
    2,354.18x = 2,199,420.32
  5. Step 5: Solve for x
    x = 2,199,420.32/2,354.18
  6. Step 6: Final answer
    x = 934.26

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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.