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Finding the Fourth Proportional to 2,199.03, 3,034.71 and 1,204.35

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Solution

The fourth proportional to 2,199.03, 3,034.71 and 1,204.35 is: 1,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.03 : 3,034.71 = 1,204.35 : x
  2. Step 2: Convert to fraction form
    2,199.03/3,034.71 = 1,204.35/x
  3. Step 3: Cross multiply
    2,199.03x = 3,034.71 × 1,204.35
  4. Step 4: Simplify right side
    2,199.03x = 3,654,852.99
  5. Step 5: Solve for x
    x = 3,654,852.99/2,199.03
  6. Step 6: Final answer
    x = 1,662.03

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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.