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Finding the Fourth Proportional to 2,296, 3,168.48 and 1,364.50

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Solution

The fourth proportional to 2,296, 3,168.48 and 1,364.50 is: 1,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 3,168.48 = 1,364.50 : x
  2. Step 2: Convert to fraction form
    2,296/3,168.48 = 1,364.50/x
  3. Step 3: Cross multiply
    2,296x = 3,168.48 × 1,364.50
  4. Step 4: Simplify right side
    2,296x = 4,323,390.96
  5. Step 5: Solve for x
    x = 4,323,390.96/2,296
  6. Step 6: Final answer
    x = 1,883.01

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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.