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Finding the Fourth Proportional to 2,389.87, 3,583.41 and 927.32

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Solution

The fourth proportional to 2,389.87, 3,583.41 and 927.32 is: 1,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.87 : 3,583.41 = 927.32 : x
  2. Step 2: Convert to fraction form
    2,389.87/3,583.41 = 927.32/x
  3. Step 3: Cross multiply
    2,389.87x = 3,583.41 × 927.32
  4. Step 4: Simplify right side
    2,389.87x = 3,322,946.37
  5. Step 5: Solve for x
    x = 3,322,946.37/2,389.87
  6. Step 6: Final answer
    x = 1,390.43

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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.