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Finding the Fourth Proportional to 2,199.83, 3,035.82 and 1,205.15

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Solution

The fourth proportional to 2,199.83, 3,035.82 and 1,205.15 is: 1,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.83 : 3,035.82 = 1,205.15 : x
  2. Step 2: Convert to fraction form
    2,199.83/3,035.82 = 1,205.15/x
  3. Step 3: Cross multiply
    2,199.83x = 3,035.82 × 1,205.15
  4. Step 4: Simplify right side
    2,199.83x = 3,658,612.45
  5. Step 5: Solve for x
    x = 3,658,612.45/2,199.83
  6. Step 6: Final answer
    x = 1,663.13

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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.