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Finding the Fourth Proportional to 3,083.70, 4,255.56 and 1,757.34

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Solution

The fourth proportional to 3,083.70, 4,255.56 and 1,757.34 is: 2,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.70 : 4,255.56 = 1,757.34 : x
  2. Step 2: Convert to fraction form
    3,083.70/4,255.56 = 1,757.34/x
  3. Step 3: Cross multiply
    3,083.70x = 4,255.56 × 1,757.34
  4. Step 4: Simplify right side
    3,083.70x = 7,478,465.81
  5. Step 5: Solve for x
    x = 7,478,465.81/3,083.70
  6. Step 6: Final answer
    x = 2,425.16

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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.