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Finding the Fourth Proportional to 2,384.37, 3,292.29 and 1,640.79

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Solution

The fourth proportional to 2,384.37, 3,292.29 and 1,640.79 is: 2,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.37 : 3,292.29 = 1,640.79 : x
  2. Step 2: Convert to fraction form
    2,384.37/3,292.29 = 1,640.79/x
  3. Step 3: Cross multiply
    2,384.37x = 3,292.29 × 1,640.79
  4. Step 4: Simplify right side
    2,384.37x = 5,401,956.51
  5. Step 5: Solve for x
    x = 5,401,956.51/2,384.37
  6. Step 6: Final answer
    x = 2,265.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.