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Finding the Fourth Proportional to 3,212.56, 4,818.84 and 904.06

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Solution

The fourth proportional to 3,212.56, 4,818.84 and 904.06 is: 1,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.56 : 4,818.84 = 904.06 : x
  2. Step 2: Convert to fraction form
    3,212.56/4,818.84 = 904.06/x
  3. Step 3: Cross multiply
    3,212.56x = 4,818.84 × 904.06
  4. Step 4: Simplify right side
    3,212.56x = 4,356,520.49
  5. Step 5: Solve for x
    x = 4,356,520.49/3,212.56
  6. Step 6: Final answer
    x = 1,356.09

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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.