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Finding the Fourth Proportional to 2,293.54, 3,164.07 and 1,361.50

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Solution

The fourth proportional to 2,293.54, 3,164.07 and 1,361.50 is: 1,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.54 : 3,164.07 = 1,361.50 : x
  2. Step 2: Convert to fraction form
    2,293.54/3,164.07 = 1,361.50/x
  3. Step 3: Cross multiply
    2,293.54x = 3,164.07 × 1,361.50
  4. Step 4: Simplify right side
    2,293.54x = 4,307,881.31
  5. Step 5: Solve for x
    x = 4,307,881.31/2,293.54
  6. Step 6: Final answer
    x = 1,878.27

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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.