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Finding the Fourth Proportional to 3,023.91, 4,173.00 and 1,698.04

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Solution

The fourth proportional to 3,023.91, 4,173.00 and 1,698.04 is: 2,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.91 : 4,173.00 = 1,698.04 : x
  2. Step 2: Convert to fraction form
    3,023.91/4,173.00 = 1,698.04/x
  3. Step 3: Cross multiply
    3,023.91x = 4,173.00 × 1,698.04
  4. Step 4: Simplify right side
    3,023.91x = 7,085,919.77
  5. Step 5: Solve for x
    x = 7,085,919.77/3,023.91
  6. Step 6: Final answer
    x = 2,343.30

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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.