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Finding the Fourth Proportional to 3,133.98, 4,702.26 and 1,378.08

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Solution

The fourth proportional to 3,133.98, 4,702.26 and 1,378.08 is: 2,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.98 : 4,702.26 = 1,378.08 : x
  2. Step 2: Convert to fraction form
    3,133.98/4,702.26 = 1,378.08/x
  3. Step 3: Cross multiply
    3,133.98x = 4,702.26 × 1,378.08
  4. Step 4: Simplify right side
    3,133.98x = 6,480,090.46
  5. Step 5: Solve for x
    x = 6,480,090.46/3,133.98
  6. Step 6: Final answer
    x = 2,067.69

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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.