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Finding the Fourth Proportional to 2,755.39, 3,802.46 and 1,496.45

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Solution

The fourth proportional to 2,755.39, 3,802.46 and 1,496.45 is: 2,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.39 : 3,802.46 = 1,496.45 : x
  2. Step 2: Convert to fraction form
    2,755.39/3,802.46 = 1,496.45/x
  3. Step 3: Cross multiply
    2,755.39x = 3,802.46 × 1,496.45
  4. Step 4: Simplify right side
    2,755.39x = 5,690,204.51
  5. Step 5: Solve for x
    x = 5,690,204.51/2,755.39
  6. Step 6: Final answer
    x = 2,065.12

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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.