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Finding the Fourth Proportional to 1,593.98, 2,200.02 and 1,004.12

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Solution

The fourth proportional to 1,593.98, 2,200.02 and 1,004.12 is: 1,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.98 : 2,200.02 = 1,004.12 : x
  2. Step 2: Convert to fraction form
    1,593.98/2,200.02 = 1,004.12/x
  3. Step 3: Cross multiply
    1,593.98x = 2,200.02 × 1,004.12
  4. Step 4: Simplify right side
    1,593.98x = 2,209,084.08
  5. Step 5: Solve for x
    x = 2,209,084.08/1,593.98
  6. Step 6: Final answer
    x = 1,385.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.