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Finding the Fourth Proportional to 2,583.32, 3,874.95 and 940.32

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Solution

The fourth proportional to 2,583.32, 3,874.95 and 940.32 is: 1,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.32 : 3,874.95 = 940.32 : x
  2. Step 2: Convert to fraction form
    2,583.32/3,874.95 = 940.32/x
  3. Step 3: Cross multiply
    2,583.32x = 3,874.95 × 940.32
  4. Step 4: Simplify right side
    2,583.32x = 3,643,692.98
  5. Step 5: Solve for x
    x = 3,643,692.98/2,583.32
  6. Step 6: Final answer
    x = 1,410.47

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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.