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Finding the Fourth Proportional to 1,766.54, 2,436.72 and 1,261.46

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Solution

The fourth proportional to 1,766.54, 2,436.72 and 1,261.46 is: 1,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.54 : 2,436.72 = 1,261.46 : x
  2. Step 2: Convert to fraction form
    1,766.54/2,436.72 = 1,261.46/x
  3. Step 3: Cross multiply
    1,766.54x = 2,436.72 × 1,261.46
  4. Step 4: Simplify right side
    1,766.54x = 3,073,824.81
  5. Step 5: Solve for x
    x = 3,073,824.81/1,766.54
  6. Step 6: Final answer
    x = 1,740.03

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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.