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Finding the Fourth Proportional to 1,722.57, 2,377.14 and 936.63

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Solution

The fourth proportional to 1,722.57, 2,377.14 and 936.63 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.57 : 2,377.14 = 936.63 : x
  2. Step 2: Convert to fraction form
    1,722.57/2,377.14 = 936.63/x
  3. Step 3: Cross multiply
    1,722.57x = 2,377.14 × 936.63
  4. Step 4: Simplify right side
    1,722.57x = 2,226,500.64
  5. Step 5: Solve for x
    x = 2,226,500.64/1,722.57
  6. Step 6: Final answer
    x = 1,292.55

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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.