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Finding the Fourth Proportional to 2,351.84, 3,245.42 and 1,357.16

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Solution

The fourth proportional to 2,351.84, 3,245.42 and 1,357.16 is: 1,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.84 : 3,245.42 = 1,357.16 : x
  2. Step 2: Convert to fraction form
    2,351.84/3,245.42 = 1,357.16/x
  3. Step 3: Cross multiply
    2,351.84x = 3,245.42 × 1,357.16
  4. Step 4: Simplify right side
    2,351.84x = 4,404,541.37
  5. Step 5: Solve for x
    x = 4,404,541.37/2,351.84
  6. Step 6: Final answer
    x = 1,872.81

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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.