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Finding the Fourth Proportional to 3,024.76, 4,173.84 and 1,698.61

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Solution

The fourth proportional to 3,024.76, 4,173.84 and 1,698.61 is: 2,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.76 : 4,173.84 = 1,698.61 : x
  2. Step 2: Convert to fraction form
    3,024.76/4,173.84 = 1,698.61/x
  3. Step 3: Cross multiply
    3,024.76x = 4,173.84 × 1,698.61
  4. Step 4: Simplify right side
    3,024.76x = 7,089,705.49
  5. Step 5: Solve for x
    x = 7,089,705.49/3,024.76
  6. Step 6: Final answer
    x = 2,343.89

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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.