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Finding the Fourth Proportional to 2,597.91, 3,910.75 and 2,330

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Solution

The fourth proportional to 2,597.91, 3,910.75 and 2,330 is: 3,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.91 : 3,910.75 = 2,330 : x
  2. Step 2: Convert to fraction form
    2,597.91/3,910.75 = 2,330/x
  3. Step 3: Cross multiply
    2,597.91x = 3,910.75 × 2,330
  4. Step 4: Simplify right side
    2,597.91x = 9,112,035.85
  5. Step 5: Solve for x
    x = 9,112,035.85/2,597.91
  6. Step 6: Final answer
    x = 3,507.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.