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Finding the Fourth Proportional to 2,735.86, 3,775.65 and 2,071.66

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Solution

The fourth proportional to 2,735.86, 3,775.65 and 2,071.66 is: 2,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.86 : 3,775.65 = 2,071.66 : x
  2. Step 2: Convert to fraction form
    2,735.86/3,775.65 = 2,071.66/x
  3. Step 3: Cross multiply
    2,735.86x = 3,775.65 × 2,071.66
  4. Step 4: Simplify right side
    2,735.86x = 7,821,863.08
  5. Step 5: Solve for x
    x = 7,821,863.08/2,735.86
  6. Step 6: Final answer
    x = 2,859.01

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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.