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Finding the Fourth Proportional to 1,727.16, 2,383.17 and 980.94

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Solution

The fourth proportional to 1,727.16, 2,383.17 and 980.94 is: 1,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.16 : 2,383.17 = 980.94 : x
  2. Step 2: Convert to fraction form
    1,727.16/2,383.17 = 980.94/x
  3. Step 3: Cross multiply
    1,727.16x = 2,383.17 × 980.94
  4. Step 4: Simplify right side
    1,727.16x = 2,337,746.78
  5. Step 5: Solve for x
    x = 2,337,746.78/1,727.16
  6. Step 6: Final answer
    x = 1,353.52

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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.