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Finding the Fourth Proportional to 3,123, 4,309.79 and 1,725.75

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Solution

The fourth proportional to 3,123, 4,309.79 and 1,725.75 is: 2,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,309.79 = 1,725.75 : x
  2. Step 2: Convert to fraction form
    3,123/4,309.79 = 1,725.75/x
  3. Step 3: Cross multiply
    3,123x = 4,309.79 × 1,725.75
  4. Step 4: Simplify right side
    3,123x = 7,437,611.46
  5. Step 5: Solve for x
    x = 7,437,611.46/3,123
  6. Step 6: Final answer
    x = 2,381.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.