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Finding the Fourth Proportional to 2,641.36, 3,961.95 and 693.55

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Solution

The fourth proportional to 2,641.36, 3,961.95 and 693.55 is: 1,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.36 : 3,961.95 = 693.55 : x
  2. Step 2: Convert to fraction form
    2,641.36/3,961.95 = 693.55/x
  3. Step 3: Cross multiply
    2,641.36x = 3,961.95 × 693.55
  4. Step 4: Simplify right side
    2,641.36x = 2,747,810.42
  5. Step 5: Solve for x
    x = 2,747,810.42/2,641.36
  6. Step 6: Final answer
    x = 1,040.30

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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.