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Finding the Fourth Proportional to 2,523.95, 3,483.22 and 1,684.12

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Solution

The fourth proportional to 2,523.95, 3,483.22 and 1,684.12 is: 2,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.95 : 3,483.22 = 1,684.12 : x
  2. Step 2: Convert to fraction form
    2,523.95/3,483.22 = 1,684.12/x
  3. Step 3: Cross multiply
    2,523.95x = 3,483.22 × 1,684.12
  4. Step 4: Simplify right side
    2,523.95x = 5,866,160.36
  5. Step 5: Solve for x
    x = 5,866,160.36/2,523.95
  6. Step 6: Final answer
    x = 2,324.20

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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.