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Finding the Fourth Proportional to 1,766.15, 2,636.68 and 1,571.75

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Solution

The fourth proportional to 1,766.15, 2,636.68 and 1,571.75 is: 2,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.15 : 2,636.68 = 1,571.75 : x
  2. Step 2: Convert to fraction form
    1,766.15/2,636.68 = 1,571.75/x
  3. Step 3: Cross multiply
    1,766.15x = 2,636.68 × 1,571.75
  4. Step 4: Simplify right side
    1,766.15x = 4,144,201.79
  5. Step 5: Solve for x
    x = 4,144,201.79/1,766.15
  6. Step 6: Final answer
    x = 2,346.46

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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.