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Finding the Fourth Proportional to 2,199.79, 3,035.52 and 1,205.05

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Solution

The fourth proportional to 2,199.79, 3,035.52 and 1,205.05 is: 1,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.79 : 3,035.52 = 1,205.05 : x
  2. Step 2: Convert to fraction form
    2,199.79/3,035.52 = 1,205.05/x
  3. Step 3: Cross multiply
    2,199.79x = 3,035.52 × 1,205.05
  4. Step 4: Simplify right side
    2,199.79x = 3,657,953.38
  5. Step 5: Solve for x
    x = 3,657,953.38/2,199.79
  6. Step 6: Final answer
    x = 1,662.86

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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.