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Finding the Fourth Proportional to 1,727.44, 2,383.20 and 971.05

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Solution

The fourth proportional to 1,727.44, 2,383.20 and 971.05 is: 1,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.44 : 2,383.20 = 971.05 : x
  2. Step 2: Convert to fraction form
    1,727.44/2,383.20 = 971.05/x
  3. Step 3: Cross multiply
    1,727.44x = 2,383.20 × 971.05
  4. Step 4: Simplify right side
    1,727.44x = 2,314,205.35
  5. Step 5: Solve for x
    x = 2,314,205.35/1,727.44
  6. Step 6: Final answer
    x = 1,339.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.