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Finding the Fourth Proportional to 3,123.56, 4,685.34 and 815.06

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Solution

The fourth proportional to 3,123.56, 4,685.34 and 815.06 is: 1,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.56 : 4,685.34 = 815.06 : x
  2. Step 2: Convert to fraction form
    3,123.56/4,685.34 = 815.06/x
  3. Step 3: Cross multiply
    3,123.56x = 4,685.34 × 815.06
  4. Step 4: Simplify right side
    3,123.56x = 3,818,847.99
  5. Step 5: Solve for x
    x = 3,818,847.99/3,123.56
  6. Step 6: Final answer
    x = 1,222.59

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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.