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Finding the Fourth Proportional to 3,415.50, 4,711.50 and 2,294.46

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Solution

The fourth proportional to 3,415.50, 4,711.50 and 2,294.46 is: 3,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.50 : 4,711.50 = 2,294.46 : x
  2. Step 2: Convert to fraction form
    3,415.50/4,711.50 = 2,294.46/x
  3. Step 3: Cross multiply
    3,415.50x = 4,711.50 × 2,294.46
  4. Step 4: Simplify right side
    3,415.50x = 10,810,348.29
  5. Step 5: Solve for x
    x = 10,810,348.29/3,415.50
  6. Step 6: Final answer
    x = 3,165.09

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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.