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Finding the Fourth Proportional to 2,814.88, 3,886.80 and 1,768.48

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Solution

The fourth proportional to 2,814.88, 3,886.80 and 1,768.48 is: 2,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.88 : 3,886.80 = 1,768.48 : x
  2. Step 2: Convert to fraction form
    2,814.88/3,886.80 = 1,768.48/x
  3. Step 3: Cross multiply
    2,814.88x = 3,886.80 × 1,768.48
  4. Step 4: Simplify right side
    2,814.88x = 6,873,728.06
  5. Step 5: Solve for x
    x = 6,873,728.06/2,814.88
  6. Step 6: Final answer
    x = 2,441.93

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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.