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Finding the Fourth Proportional to 1,424.87, 1,964.77 and 926.59

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Solution

The fourth proportional to 1,424.87, 1,964.77 and 926.59 is: 1,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.87 : 1,964.77 = 926.59 : x
  2. Step 2: Convert to fraction form
    1,424.87/1,964.77 = 926.59/x
  3. Step 3: Cross multiply
    1,424.87x = 1,964.77 × 926.59
  4. Step 4: Simplify right side
    1,424.87x = 1,820,527.66
  5. Step 5: Solve for x
    x = 1,820,527.66/1,424.87
  6. Step 6: Final answer
    x = 1,277.68

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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.