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Finding the Fourth Proportional to 3,070.98, 4,608.39 and 1,427.70

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Solution

The fourth proportional to 3,070.98, 4,608.39 and 1,427.70 is: 2,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.98 : 4,608.39 = 1,427.70 : x
  2. Step 2: Convert to fraction form
    3,070.98/4,608.39 = 1,427.70/x
  3. Step 3: Cross multiply
    3,070.98x = 4,608.39 × 1,427.70
  4. Step 4: Simplify right side
    3,070.98x = 6,579,398.40
  5. Step 5: Solve for x
    x = 6,579,398.40/3,070.98
  6. Step 6: Final answer
    x = 2,142.44

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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.