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Finding the Fourth Proportional to 2,310.93, 3,466.32 and 579.54

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Solution

The fourth proportional to 2,310.93, 3,466.32 and 579.54 is: 869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.93 : 3,466.32 = 579.54 : x
  2. Step 2: Convert to fraction form
    2,310.93/3,466.32 = 579.54/x
  3. Step 3: Cross multiply
    2,310.93x = 3,466.32 × 579.54
  4. Step 4: Simplify right side
    2,310.93x = 2,008,871.09
  5. Step 5: Solve for x
    x = 2,008,871.09/2,310.93
  6. Step 6: Final answer
    x = 869.29

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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.