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Finding the Fourth Proportional to 3,051.89, 4,576.74 and 1,319.57

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Solution

The fourth proportional to 3,051.89, 4,576.74 and 1,319.57 is: 1,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.89 : 4,576.74 = 1,319.57 : x
  2. Step 2: Convert to fraction form
    3,051.89/4,576.74 = 1,319.57/x
  3. Step 3: Cross multiply
    3,051.89x = 4,576.74 × 1,319.57
  4. Step 4: Simplify right side
    3,051.89x = 6,039,328.80
  5. Step 5: Solve for x
    x = 6,039,328.80/3,051.89
  6. Step 6: Final answer
    x = 1,978.88

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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.