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Finding the Fourth Proportional to 1,960, 2,701.68 and 1,486.36

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Solution

The fourth proportional to 1,960, 2,701.68 and 1,486.36 is: 2,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960 : 2,701.68 = 1,486.36 : x
  2. Step 2: Convert to fraction form
    1,960/2,701.68 = 1,486.36/x
  3. Step 3: Cross multiply
    1,960x = 2,701.68 × 1,486.36
  4. Step 4: Simplify right side
    1,960x = 4,015,669.08
  5. Step 5: Solve for x
    x = 4,015,669.08/1,960
  6. Step 6: Final answer
    x = 2,048.81

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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.