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Finding the Fourth Proportional to 3,205.35, 4,423.08 and 1,788.78

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Solution

The fourth proportional to 3,205.35, 4,423.08 and 1,788.78 is: 2,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.35 : 4,423.08 = 1,788.78 : x
  2. Step 2: Convert to fraction form
    3,205.35/4,423.08 = 1,788.78/x
  3. Step 3: Cross multiply
    3,205.35x = 4,423.08 × 1,788.78
  4. Step 4: Simplify right side
    3,205.35x = 7,911,917.04
  5. Step 5: Solve for x
    x = 7,911,917.04/3,205.35
  6. Step 6: Final answer
    x = 2,468.35

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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.