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Finding the Fourth Proportional to 2,323.35, 3,475.44 and 2,126.88

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Solution

The fourth proportional to 2,323.35, 3,475.44 and 2,126.88 is: 3,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.35 : 3,475.44 = 2,126.88 : x
  2. Step 2: Convert to fraction form
    2,323.35/3,475.44 = 2,126.88/x
  3. Step 3: Cross multiply
    2,323.35x = 3,475.44 × 2,126.88
  4. Step 4: Simplify right side
    2,323.35x = 7,391,843.83
  5. Step 5: Solve for x
    x = 7,391,843.83/2,323.35
  6. Step 6: Final answer
    x = 3,181.55

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