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Finding the Fourth Proportional to 1,684.41, 2,324.51 and 976.30

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Solution

The fourth proportional to 1,684.41, 2,324.51 and 976.30 is: 1,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.41 : 2,324.51 = 976.30 : x
  2. Step 2: Convert to fraction form
    1,684.41/2,324.51 = 976.30/x
  3. Step 3: Cross multiply
    1,684.41x = 2,324.51 × 976.30
  4. Step 4: Simplify right side
    1,684.41x = 2,269,422.41
  5. Step 5: Solve for x
    x = 2,269,422.41/1,684.41
  6. Step 6: Final answer
    x = 1,347.31

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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.