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Finding the Fourth Proportional to 2,309.03, 3,464.16 and 665.71

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Solution

The fourth proportional to 2,309.03, 3,464.16 and 665.71 is: 998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.03 : 3,464.16 = 665.71 : x
  2. Step 2: Convert to fraction form
    2,309.03/3,464.16 = 665.71/x
  3. Step 3: Cross multiply
    2,309.03x = 3,464.16 × 665.71
  4. Step 4: Simplify right side
    2,309.03x = 2,306,125.95
  5. Step 5: Solve for x
    x = 2,306,125.95/2,309.03
  6. Step 6: Final answer
    x = 998.74

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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.