Home / 1,684.50-2,324.88-976.23

Finding the Fourth Proportional to 1,684.50, 2,324.88 and 976.23

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Solution

The fourth proportional to 1,684.50, 2,324.88 and 976.23 is: 1,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.50 : 2,324.88 = 976.23 : x
  2. Step 2: Convert to fraction form
    1,684.50/2,324.88 = 976.23/x
  3. Step 3: Cross multiply
    1,684.50x = 2,324.88 × 976.23
  4. Step 4: Simplify right side
    1,684.50x = 2,269,617.60
  5. Step 5: Solve for x
    x = 2,269,617.60/1,684.50
  6. Step 6: Final answer
    x = 1,347.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.