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Finding the Fourth Proportional to 2,466.16, 3,699.22 and 617.26

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Solution

The fourth proportional to 2,466.16, 3,699.22 and 617.26 is: 925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.16 : 3,699.22 = 617.26 : x
  2. Step 2: Convert to fraction form
    2,466.16/3,699.22 = 617.26/x
  3. Step 3: Cross multiply
    2,466.16x = 3,699.22 × 617.26
  4. Step 4: Simplify right side
    2,466.16x = 2,283,377.45
  5. Step 5: Solve for x
    x = 2,283,377.45/2,466.16
  6. Step 6: Final answer
    x = 925.88

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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.