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Finding the Fourth Proportional to 1,722.69, 2,377.49 and 976.86

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Solution

The fourth proportional to 1,722.69, 2,377.49 and 976.86 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.69 : 2,377.49 = 976.86 : x
  2. Step 2: Convert to fraction form
    1,722.69/2,377.49 = 976.86/x
  3. Step 3: Cross multiply
    1,722.69x = 2,377.49 × 976.86
  4. Step 4: Simplify right side
    1,722.69x = 2,322,470.00
  5. Step 5: Solve for x
    x = 2,322,470.00/1,722.69
  6. Step 6: Final answer
    x = 1,348.16

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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.