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Finding the Fourth Proportional to 4,523.70, 6,780.90 and 1,599.99

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Solution

The fourth proportional to 4,523.70, 6,780.90 and 1,599.99 is: 2,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.70 : 6,780.90 = 1,599.99 : x
  2. Step 2: Convert to fraction form
    4,523.70/6,780.90 = 1,599.99/x
  3. Step 3: Cross multiply
    4,523.70x = 6,780.90 × 1,599.99
  4. Step 4: Simplify right side
    4,523.70x = 10,849,372.19
  5. Step 5: Solve for x
    x = 10,849,372.19/4,523.70
  6. Step 6: Final answer
    x = 2,398.34

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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.