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Finding the Fourth Proportional to 2,765.88, 4,148.69 and 1,886.17

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Solution

The fourth proportional to 2,765.88, 4,148.69 and 1,886.17 is: 2,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.88 : 4,148.69 = 1,886.17 : x
  2. Step 2: Convert to fraction form
    2,765.88/4,148.69 = 1,886.17/x
  3. Step 3: Cross multiply
    2,765.88x = 4,148.69 × 1,886.17
  4. Step 4: Simplify right side
    2,765.88x = 7,825,134.62
  5. Step 5: Solve for x
    x = 7,825,134.62/2,765.88
  6. Step 6: Final answer
    x = 2,829.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.