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Finding the Fourth Proportional to 3,131.89, 4,698.23 and 1,052.11

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Solution

The fourth proportional to 3,131.89, 4,698.23 and 1,052.11 is: 1,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.89 : 4,698.23 = 1,052.11 : x
  2. Step 2: Convert to fraction form
    3,131.89/4,698.23 = 1,052.11/x
  3. Step 3: Cross multiply
    3,131.89x = 4,698.23 × 1,052.11
  4. Step 4: Simplify right side
    3,131.89x = 4,943,071.55
  5. Step 5: Solve for x
    x = 4,943,071.55/3,131.89
  6. Step 6: Final answer
    x = 1,578.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.