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Finding the Fourth Proportional to 2,592.62, 3,889.69 and 837.59

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Solution

The fourth proportional to 2,592.62, 3,889.69 and 837.59 is: 1,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.62 : 3,889.69 = 837.59 : x
  2. Step 2: Convert to fraction form
    2,592.62/3,889.69 = 837.59/x
  3. Step 3: Cross multiply
    2,592.62x = 3,889.69 × 837.59
  4. Step 4: Simplify right side
    2,592.62x = 3,257,946.00
  5. Step 5: Solve for x
    x = 3,257,946.00/2,592.62
  6. Step 6: Final answer
    x = 1,256.62

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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.