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Finding the Fourth Proportional to 3,234.34, 4,851.54 and 925.84

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Solution

The fourth proportional to 3,234.34, 4,851.54 and 925.84 is: 1,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.34 : 4,851.54 = 925.84 : x
  2. Step 2: Convert to fraction form
    3,234.34/4,851.54 = 925.84/x
  3. Step 3: Cross multiply
    3,234.34x = 4,851.54 × 925.84
  4. Step 4: Simplify right side
    3,234.34x = 4,491,749.79
  5. Step 5: Solve for x
    x = 4,491,749.79/3,234.34
  6. Step 6: Final answer
    x = 1,388.77

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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.