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Finding the Fourth Proportional to 3,168.34, 4,751.07 and 1,319.02

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Solution

The fourth proportional to 3,168.34, 4,751.07 and 1,319.02 is: 1,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.34 : 4,751.07 = 1,319.02 : x
  2. Step 2: Convert to fraction form
    3,168.34/4,751.07 = 1,319.02/x
  3. Step 3: Cross multiply
    3,168.34x = 4,751.07 × 1,319.02
  4. Step 4: Simplify right side
    3,168.34x = 6,266,756.35
  5. Step 5: Solve for x
    x = 6,266,756.35/3,168.34
  6. Step 6: Final answer
    x = 1,977.93

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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.