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Finding the Fourth Proportional to 1,599.99, 2,188.99 and 1,593.07

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Solution

The fourth proportional to 1,599.99, 2,188.99 and 1,593.07 is: 2,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.99 : 2,188.99 = 1,593.07 : x
  2. Step 2: Convert to fraction form
    1,599.99/2,188.99 = 1,593.07/x
  3. Step 3: Cross multiply
    1,599.99x = 2,188.99 × 1,593.07
  4. Step 4: Simplify right side
    1,599.99x = 3,487,210.82
  5. Step 5: Solve for x
    x = 3,487,210.82/1,599.99
  6. Step 6: Final answer
    x = 2,179.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.