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Finding the Fourth Proportional to 1,593.60, 2,204.16 and 1,409.60

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Solution

The fourth proportional to 1,593.60, 2,204.16 and 1,409.60 is: 1,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.60 : 2,204.16 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    1,593.60/2,204.16 = 1,409.60/x
  3. Step 3: Cross multiply
    1,593.60x = 2,204.16 × 1,409.60
  4. Step 4: Simplify right side
    1,593.60x = 3,106,983.94
  5. Step 5: Solve for x
    x = 3,106,983.94/1,593.60
  6. Step 6: Final answer
    x = 1,949.66

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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.