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Finding the Fourth Proportional to 1,970.57, 2,719.39 and 1,086.37

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Solution

The fourth proportional to 1,970.57, 2,719.39 and 1,086.37 is: 1,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.57 : 2,719.39 = 1,086.37 : x
  2. Step 2: Convert to fraction form
    1,970.57/2,719.39 = 1,086.37/x
  3. Step 3: Cross multiply
    1,970.57x = 2,719.39 × 1,086.37
  4. Step 4: Simplify right side
    1,970.57x = 2,954,254.20
  5. Step 5: Solve for x
    x = 2,954,254.20/1,970.57
  6. Step 6: Final answer
    x = 1,499.19

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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.