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Finding the Fourth Proportional to 1,415.87, 2,121.63 and 593.70

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Solution

The fourth proportional to 1,415.87, 2,121.63 and 593.70 is: 889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.87 : 2,121.63 = 593.70 : x
  2. Step 2: Convert to fraction form
    1,415.87/2,121.63 = 593.70/x
  3. Step 3: Cross multiply
    1,415.87x = 2,121.63 × 593.70
  4. Step 4: Simplify right side
    1,415.87x = 1,259,611.73
  5. Step 5: Solve for x
    x = 1,259,611.73/1,415.87
  6. Step 6: Final answer
    x = 889.64

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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.