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Finding the Fourth Proportional to 3,131.64, 4,698.06 and 1,400.25

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Solution

The fourth proportional to 3,131.64, 4,698.06 and 1,400.25 is: 2,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.64 : 4,698.06 = 1,400.25 : x
  2. Step 2: Convert to fraction form
    3,131.64/4,698.06 = 1,400.25/x
  3. Step 3: Cross multiply
    3,131.64x = 4,698.06 × 1,400.25
  4. Step 4: Simplify right side
    3,131.64x = 6,578,458.52
  5. Step 5: Solve for x
    x = 6,578,458.52/3,131.64
  6. Step 6: Final answer
    x = 2,100.64

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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.