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Finding the Fourth Proportional to 3,024.83, 4,174.12 and 1,698.47

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Solution

The fourth proportional to 3,024.83, 4,174.12 and 1,698.47 is: 2,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.83 : 4,174.12 = 1,698.47 : x
  2. Step 2: Convert to fraction form
    3,024.83/4,174.12 = 1,698.47/x
  3. Step 3: Cross multiply
    3,024.83x = 4,174.12 × 1,698.47
  4. Step 4: Simplify right side
    3,024.83x = 7,089,617.60
  5. Step 5: Solve for x
    x = 7,089,617.60/3,024.83
  6. Step 6: Final answer
    x = 2,343.81

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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.