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Finding the Fourth Proportional to 1,727.75, 2,384.84 and 1,106.75

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Solution

The fourth proportional to 1,727.75, 2,384.84 and 1,106.75 is: 1,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.75 : 2,384.84 = 1,106.75 : x
  2. Step 2: Convert to fraction form
    1,727.75/2,384.84 = 1,106.75/x
  3. Step 3: Cross multiply
    1,727.75x = 2,384.84 × 1,106.75
  4. Step 4: Simplify right side
    1,727.75x = 2,639,421.67
  5. Step 5: Solve for x
    x = 2,639,421.67/1,727.75
  6. Step 6: Final answer
    x = 1,527.66

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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.