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Finding the Fourth Proportional to 3,460.88, 4,775.82 and 1,969.16

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Solution

The fourth proportional to 3,460.88, 4,775.82 and 1,969.16 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.88 : 4,775.82 = 1,969.16 : x
  2. Step 2: Convert to fraction form
    3,460.88/4,775.82 = 1,969.16/x
  3. Step 3: Cross multiply
    3,460.88x = 4,775.82 × 1,969.16
  4. Step 4: Simplify right side
    3,460.88x = 9,404,353.71
  5. Step 5: Solve for x
    x = 9,404,353.71/3,460.88
  6. Step 6: Final answer
    x = 2,717.33

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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.