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Finding the Fourth Proportional to 3,024.86, 4,174.54 and 1,698.68

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Solution

The fourth proportional to 3,024.86, 4,174.54 and 1,698.68 is: 2,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.86 : 4,174.54 = 1,698.68 : x
  2. Step 2: Convert to fraction form
    3,024.86/4,174.54 = 1,698.68/x
  3. Step 3: Cross multiply
    3,024.86x = 4,174.54 × 1,698.68
  4. Step 4: Simplify right side
    3,024.86x = 7,091,207.61
  5. Step 5: Solve for x
    x = 7,091,207.61/3,024.86
  6. Step 6: Final answer
    x = 2,344.31

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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.