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Finding the Fourth Proportional to 2,763.68, 3,812.88 and 1,686.56

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Solution

The fourth proportional to 2,763.68, 3,812.88 and 1,686.56 is: 2,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.68 : 3,812.88 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    2,763.68/3,812.88 = 1,686.56/x
  3. Step 3: Cross multiply
    2,763.68x = 3,812.88 × 1,686.56
  4. Step 4: Simplify right side
    2,763.68x = 6,430,650.89
  5. Step 5: Solve for x
    x = 6,430,650.89/2,763.68
  6. Step 6: Final answer
    x = 2,326.84

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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.