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Finding the Fourth Proportional to 2,593.61, 3,889.47 and 949.67

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Solution

The fourth proportional to 2,593.61, 3,889.47 and 949.67 is: 1,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.61 : 3,889.47 = 949.67 : x
  2. Step 2: Convert to fraction form
    2,593.61/3,889.47 = 949.67/x
  3. Step 3: Cross multiply
    2,593.61x = 3,889.47 × 949.67
  4. Step 4: Simplify right side
    2,593.61x = 3,693,712.97
  5. Step 5: Solve for x
    x = 3,693,712.97/2,593.61
  6. Step 6: Final answer
    x = 1,424.16

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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.