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Finding the Fourth Proportional to 2,762.88, 3,810.98 and 1,766.58

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Solution

The fourth proportional to 2,762.88, 3,810.98 and 1,766.58 is: 2,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.88 : 3,810.98 = 1,766.58 : x
  2. Step 2: Convert to fraction form
    2,762.88/3,810.98 = 1,766.58/x
  3. Step 3: Cross multiply
    2,762.88x = 3,810.98 × 1,766.58
  4. Step 4: Simplify right side
    2,762.88x = 6,732,401.05
  5. Step 5: Solve for x
    x = 6,732,401.05/2,762.88
  6. Step 6: Final answer
    x = 2,436.73

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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.