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Finding the Fourth Proportional to 2,336.89, 3,505.65 and 693.46

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Solution

The fourth proportional to 2,336.89, 3,505.65 and 693.46 is: 1,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.89 : 3,505.65 = 693.46 : x
  2. Step 2: Convert to fraction form
    2,336.89/3,505.65 = 693.46/x
  3. Step 3: Cross multiply
    2,336.89x = 3,505.65 × 693.46
  4. Step 4: Simplify right side
    2,336.89x = 2,431,028.05
  5. Step 5: Solve for x
    x = 2,431,028.05/2,336.89
  6. Step 6: Final answer
    x = 1,040.28

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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.