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Finding the Fourth Proportional to 2,755.75, 3,803.14 and 1,708.02

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Solution

The fourth proportional to 2,755.75, 3,803.14 and 1,708.02 is: 2,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.75 : 3,803.14 = 1,708.02 : x
  2. Step 2: Convert to fraction form
    2,755.75/3,803.14 = 1,708.02/x
  3. Step 3: Cross multiply
    2,755.75x = 3,803.14 × 1,708.02
  4. Step 4: Simplify right side
    2,755.75x = 6,495,839.18
  5. Step 5: Solve for x
    x = 6,495,839.18/2,755.75
  6. Step 6: Final answer
    x = 2,357.19

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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.