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Finding the Fourth Proportional to 2,619.74, 3,929.20 and 976.05

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Solution

The fourth proportional to 2,619.74, 3,929.20 and 976.05 is: 1,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.74 : 3,929.20 = 976.05 : x
  2. Step 2: Convert to fraction form
    2,619.74/3,929.20 = 976.05/x
  3. Step 3: Cross multiply
    2,619.74x = 3,929.20 × 976.05
  4. Step 4: Simplify right side
    2,619.74x = 3,835,093.22
  5. Step 5: Solve for x
    x = 3,835,093.22/2,619.74
  6. Step 6: Final answer
    x = 1,463.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.