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Finding the Fourth Proportional to 2,592.87, 3,890.06 and 837.83

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Solution

The fourth proportional to 2,592.87, 3,890.06 and 837.83 is: 1,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.87 : 3,890.06 = 837.83 : x
  2. Step 2: Convert to fraction form
    2,592.87/3,890.06 = 837.83/x
  3. Step 3: Cross multiply
    2,592.87x = 3,890.06 × 837.83
  4. Step 4: Simplify right side
    2,592.87x = 3,259,220.79
  5. Step 5: Solve for x
    x = 3,259,220.79/2,592.87
  6. Step 6: Final answer
    x = 1,256.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.