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Finding the Fourth Proportional to 2,353.05, 3,529.71 and 621.63

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Solution

The fourth proportional to 2,353.05, 3,529.71 and 621.63 is: 932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.05 : 3,529.71 = 621.63 : x
  2. Step 2: Convert to fraction form
    2,353.05/3,529.71 = 621.63/x
  3. Step 3: Cross multiply
    2,353.05x = 3,529.71 × 621.63
  4. Step 4: Simplify right side
    2,353.05x = 2,194,173.63
  5. Step 5: Solve for x
    x = 2,194,173.63/2,353.05
  6. Step 6: Final answer
    x = 932.48

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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.