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Finding the Fourth Proportional to 2,113, 3,164.10 and 1,564.36

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Solution

The fourth proportional to 2,113, 3,164.10 and 1,564.36 is: 2,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113 : 3,164.10 = 1,564.36 : x
  2. Step 2: Convert to fraction form
    2,113/3,164.10 = 1,564.36/x
  3. Step 3: Cross multiply
    2,113x = 3,164.10 × 1,564.36
  4. Step 4: Simplify right side
    2,113x = 4,949,791.48
  5. Step 5: Solve for x
    x = 4,949,791.48/2,113
  6. Step 6: Final answer
    x = 2,342.54

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Why These Related Problems?

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