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Finding the Fourth Proportional to 1,684, 2,324.16 and 1,610.20

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Solution

The fourth proportional to 1,684, 2,324.16 and 1,610.20 is: 2,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,324.16 = 1,610.20 : x
  2. Step 2: Convert to fraction form
    1,684/2,324.16 = 1,610.20/x
  3. Step 3: Cross multiply
    1,684x = 2,324.16 × 1,610.20
  4. Step 4: Simplify right side
    1,684x = 3,742,362.43
  5. Step 5: Solve for x
    x = 3,742,362.43/1,684
  6. Step 6: Final answer
    x = 2,222.31

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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.