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Finding the Fourth Proportional to 1,713.23, 2,363.58 and 966.99

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Solution

The fourth proportional to 1,713.23, 2,363.58 and 966.99 is: 1,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.23 : 2,363.58 = 966.99 : x
  2. Step 2: Convert to fraction form
    1,713.23/2,363.58 = 966.99/x
  3. Step 3: Cross multiply
    1,713.23x = 2,363.58 × 966.99
  4. Step 4: Simplify right side
    1,713.23x = 2,285,558.22
  5. Step 5: Solve for x
    x = 2,285,558.22/1,713.23
  6. Step 6: Final answer
    x = 1,334.07

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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.