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Finding the Fourth Proportional to 1,954.40, 2,700.96 and 1,458.68

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Solution

The fourth proportional to 1,954.40, 2,700.96 and 1,458.68 is: 2,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.40 : 2,700.96 = 1,458.68 : x
  2. Step 2: Convert to fraction form
    1,954.40/2,700.96 = 1,458.68/x
  3. Step 3: Cross multiply
    1,954.40x = 2,700.96 × 1,458.68
  4. Step 4: Simplify right side
    1,954.40x = 3,939,836.33
  5. Step 5: Solve for x
    x = 3,939,836.33/1,954.40
  6. Step 6: Final answer
    x = 2,015.88

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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.