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Finding the Fourth Proportional to 1,766.62, 2,636.84 and 1,559.05

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Solution

The fourth proportional to 1,766.62, 2,636.84 and 1,559.05 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.62 : 2,636.84 = 1,559.05 : x
  2. Step 2: Convert to fraction form
    1,766.62/2,636.84 = 1,559.05/x
  3. Step 3: Cross multiply
    1,766.62x = 2,636.84 × 1,559.05
  4. Step 4: Simplify right side
    1,766.62x = 4,110,965.40
  5. Step 5: Solve for x
    x = 4,110,965.40/1,766.62
  6. Step 6: Final answer
    x = 2,327.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.