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Finding the Fourth Proportional to 1,764.72, 2,436.72 and 1,685.40

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Solution

The fourth proportional to 1,764.72, 2,436.72 and 1,685.40 is: 2,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.72 : 2,436.72 = 1,685.40 : x
  2. Step 2: Convert to fraction form
    1,764.72/2,436.72 = 1,685.40/x
  3. Step 3: Cross multiply
    1,764.72x = 2,436.72 × 1,685.40
  4. Step 4: Simplify right side
    1,764.72x = 4,106,847.89
  5. Step 5: Solve for x
    x = 4,106,847.89/1,764.72
  6. Step 6: Final answer
    x = 2,327.20

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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.