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Finding the Fourth Proportional to 3,205.16, 4,423.16 and 1,788.98

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Solution

The fourth proportional to 3,205.16, 4,423.16 and 1,788.98 is: 2,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.16 : 4,423.16 = 1,788.98 : x
  2. Step 2: Convert to fraction form
    3,205.16/4,423.16 = 1,788.98/x
  3. Step 3: Cross multiply
    3,205.16x = 4,423.16 × 1,788.98
  4. Step 4: Simplify right side
    3,205.16x = 7,912,935.83
  5. Step 5: Solve for x
    x = 7,912,935.83/3,205.16
  6. Step 6: Final answer
    x = 2,468.82

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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.