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Finding the Fourth Proportional to 3,021.93, 4,170.24 and 1,695.63

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Solution

The fourth proportional to 3,021.93, 4,170.24 and 1,695.63 is: 2,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.93 : 4,170.24 = 1,695.63 : x
  2. Step 2: Convert to fraction form
    3,021.93/4,170.24 = 1,695.63/x
  3. Step 3: Cross multiply
    3,021.93x = 4,170.24 × 1,695.63
  4. Step 4: Simplify right side
    3,021.93x = 7,071,154.72
  5. Step 5: Solve for x
    x = 7,071,154.72/3,021.93
  6. Step 6: Final answer
    x = 2,339.95

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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.