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Finding the Fourth Proportional to 3,131.55, 4,698.95 and 1,377.79

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Solution

The fourth proportional to 3,131.55, 4,698.95 and 1,377.79 is: 2,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.55 : 4,698.95 = 1,377.79 : x
  2. Step 2: Convert to fraction form
    3,131.55/4,698.95 = 1,377.79/x
  3. Step 3: Cross multiply
    3,131.55x = 4,698.95 × 1,377.79
  4. Step 4: Simplify right side
    3,131.55x = 6,474,166.32
  5. Step 5: Solve for x
    x = 6,474,166.32/3,131.55
  6. Step 6: Final answer
    x = 2,067.40

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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.