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Finding the Fourth Proportional to 3,023.80, 4,173.08 and 1,697.80

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Solution

The fourth proportional to 3,023.80, 4,173.08 and 1,697.80 is: 2,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.80 : 4,173.08 = 1,697.80 : x
  2. Step 2: Convert to fraction form
    3,023.80/4,173.08 = 1,697.80/x
  3. Step 3: Cross multiply
    3,023.80x = 4,173.08 × 1,697.80
  4. Step 4: Simplify right side
    3,023.80x = 7,085,055.22
  5. Step 5: Solve for x
    x = 7,085,055.22/3,023.80
  6. Step 6: Final answer
    x = 2,343.10

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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.