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Finding the Fourth Proportional to 1,970.32, 2,719.09 and 1,086.12

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Solution

The fourth proportional to 1,970.32, 2,719.09 and 1,086.12 is: 1,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.32 : 2,719.09 = 1,086.12 : x
  2. Step 2: Convert to fraction form
    1,970.32/2,719.09 = 1,086.12/x
  3. Step 3: Cross multiply
    1,970.32x = 2,719.09 × 1,086.12
  4. Step 4: Simplify right side
    1,970.32x = 2,953,258.03
  5. Step 5: Solve for x
    x = 2,953,258.03/1,970.32
  6. Step 6: Final answer
    x = 1,498.87

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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.