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Finding the Fourth Proportional to 1,722.89, 2,377.63 and 936.95

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Solution

The fourth proportional to 1,722.89, 2,377.63 and 936.95 is: 1,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.89 : 2,377.63 = 936.95 : x
  2. Step 2: Convert to fraction form
    1,722.89/2,377.63 = 936.95/x
  3. Step 3: Cross multiply
    1,722.89x = 2,377.63 × 936.95
  4. Step 4: Simplify right side
    1,722.89x = 2,227,706.20
  5. Step 5: Solve for x
    x = 2,227,706.20/1,722.89
  6. Step 6: Final answer
    x = 1,293.00

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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.