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Finding the Fourth Proportional to 3,021.81, 4,170.09 and 1,695.64

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Solution

The fourth proportional to 3,021.81, 4,170.09 and 1,695.64 is: 2,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.81 : 4,170.09 = 1,695.64 : x
  2. Step 2: Convert to fraction form
    3,021.81/4,170.09 = 1,695.64/x
  3. Step 3: Cross multiply
    3,021.81x = 4,170.09 × 1,695.64
  4. Step 4: Simplify right side
    3,021.81x = 7,070,967.34
  5. Step 5: Solve for x
    x = 7,070,967.34/3,021.81
  6. Step 6: Final answer
    x = 2,339.98

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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.