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Finding the Fourth Proportional to 1,593.64, 2,390.46 and 1,477

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Solution

The fourth proportional to 1,593.64, 2,390.46 and 1,477 is: 2,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.64 : 2,390.46 = 1,477 : x
  2. Step 2: Convert to fraction form
    1,593.64/2,390.46 = 1,477/x
  3. Step 3: Cross multiply
    1,593.64x = 2,390.46 × 1,477
  4. Step 4: Simplify right side
    1,593.64x = 3,530,709.42
  5. Step 5: Solve for x
    x = 3,530,709.42/1,593.64
  6. Step 6: Final answer
    x = 2,215.50

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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.