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Finding the Fourth Proportional to 3,215.34, 4,823.10 and 906.84

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Solution

The fourth proportional to 3,215.34, 4,823.10 and 906.84 is: 1,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.34 : 4,823.10 = 906.84 : x
  2. Step 2: Convert to fraction form
    3,215.34/4,823.10 = 906.84/x
  3. Step 3: Cross multiply
    3,215.34x = 4,823.10 × 906.84
  4. Step 4: Simplify right side
    3,215.34x = 4,373,780.00
  5. Step 5: Solve for x
    x = 4,373,780.00/3,215.34
  6. Step 6: Final answer
    x = 1,360.29

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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.