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Finding the Fourth Proportional to 3,168.14, 4,752.57 and 1,319.00

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Solution

The fourth proportional to 3,168.14, 4,752.57 and 1,319.00 is: 1,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.14 : 4,752.57 = 1,319.00 : x
  2. Step 2: Convert to fraction form
    3,168.14/4,752.57 = 1,319.00/x
  3. Step 3: Cross multiply
    3,168.14x = 4,752.57 × 1,319.00
  4. Step 4: Simplify right side
    3,168.14x = 6,268,616.07
  5. Step 5: Solve for x
    x = 6,268,616.07/3,168.14
  6. Step 6: Final answer
    x = 1,978.65

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Why These Related Problems?

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