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Finding the Fourth Proportional to 3,021.77, 4,170.12 and 1,695.51

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Solution

The fourth proportional to 3,021.77, 4,170.12 and 1,695.51 is: 2,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.77 : 4,170.12 = 1,695.51 : x
  2. Step 2: Convert to fraction form
    3,021.77/4,170.12 = 1,695.51/x
  3. Step 3: Cross multiply
    3,021.77x = 4,170.12 × 1,695.51
  4. Step 4: Simplify right side
    3,021.77x = 7,070,480.16
  5. Step 5: Solve for x
    x = 7,070,480.16/3,021.77
  6. Step 6: Final answer
    x = 2,339.85

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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.