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Finding the Fourth Proportional to 2,472.14, 3,708.21 and 623.25

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Solution

The fourth proportional to 2,472.14, 3,708.21 and 623.25 is: 934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.14 : 3,708.21 = 623.25 : x
  2. Step 2: Convert to fraction form
    2,472.14/3,708.21 = 623.25/x
  3. Step 3: Cross multiply
    2,472.14x = 3,708.21 × 623.25
  4. Step 4: Simplify right side
    2,472.14x = 2,311,144.22
  5. Step 5: Solve for x
    x = 2,311,144.22/2,472.14
  6. Step 6: Final answer
    x = 934.88

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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.