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Finding the Fourth Proportional to 2,349.39, 3,242.09 and 1,355.22

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Solution

The fourth proportional to 2,349.39, 3,242.09 and 1,355.22 is: 1,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.39 : 3,242.09 = 1,355.22 : x
  2. Step 2: Convert to fraction form
    2,349.39/3,242.09 = 1,355.22/x
  3. Step 3: Cross multiply
    2,349.39x = 3,242.09 × 1,355.22
  4. Step 4: Simplify right side
    2,349.39x = 4,393,738.43
  5. Step 5: Solve for x
    x = 4,393,738.43/2,349.39
  6. Step 6: Final answer
    x = 1,870.16

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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.