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Finding the Fourth Proportional to 1,958.92, 2,703.66 and 1,464.04

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Solution

The fourth proportional to 1,958.92, 2,703.66 and 1,464.04 is: 2,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.92 : 2,703.66 = 1,464.04 : x
  2. Step 2: Convert to fraction form
    1,958.92/2,703.66 = 1,464.04/x
  3. Step 3: Cross multiply
    1,958.92x = 2,703.66 × 1,464.04
  4. Step 4: Simplify right side
    1,958.92x = 3,958,266.39
  5. Step 5: Solve for x
    x = 3,958,266.39/1,958.92
  6. Step 6: Final answer
    x = 2,020.64

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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.