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Finding the Fourth Proportional to 2,351.84, 3,245.27 and 1,357.05

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Solution

The fourth proportional to 2,351.84, 3,245.27 and 1,357.05 is: 1,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.84 : 3,245.27 = 1,357.05 : x
  2. Step 2: Convert to fraction form
    2,351.84/3,245.27 = 1,357.05/x
  3. Step 3: Cross multiply
    2,351.84x = 3,245.27 × 1,357.05
  4. Step 4: Simplify right side
    2,351.84x = 4,403,999.04
  5. Step 5: Solve for x
    x = 4,403,999.04/2,351.84
  6. Step 6: Final answer
    x = 1,872.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.