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Finding the Fourth Proportional to 1,727.59, 2,383.99 and 981.45

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Solution

The fourth proportional to 1,727.59, 2,383.99 and 981.45 is: 1,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.59 : 2,383.99 = 981.45 : x
  2. Step 2: Convert to fraction form
    1,727.59/2,383.99 = 981.45/x
  3. Step 3: Cross multiply
    1,727.59x = 2,383.99 × 981.45
  4. Step 4: Simplify right side
    1,727.59x = 2,339,766.99
  5. Step 5: Solve for x
    x = 2,339,766.99/1,727.59
  6. Step 6: Final answer
    x = 1,354.35

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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.