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Finding the Fourth Proportional to 2,646.76, 3,970.16 and 1,086.36

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Solution

The fourth proportional to 2,646.76, 3,970.16 and 1,086.36 is: 1,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.76 : 3,970.16 = 1,086.36 : x
  2. Step 2: Convert to fraction form
    2,646.76/3,970.16 = 1,086.36/x
  3. Step 3: Cross multiply
    2,646.76x = 3,970.16 × 1,086.36
  4. Step 4: Simplify right side
    2,646.76x = 4,313,023.02
  5. Step 5: Solve for x
    x = 4,313,023.02/2,646.76
  6. Step 6: Final answer
    x = 1,629.55

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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.