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Finding the Fourth Proportional to 3,070.70, 4,249.24 and 2,657.60

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Solution

The fourth proportional to 3,070.70, 4,249.24 and 2,657.60 is: 3,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,249.24 = 2,657.60 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,249.24 = 2,657.60/x
  3. Step 3: Cross multiply
    3,070.70x = 4,249.24 × 2,657.60
  4. Step 4: Simplify right side
    3,070.70x = 11,292,780.22
  5. Step 5: Solve for x
    x = 11,292,780.22/3,070.70
  6. Step 6: Final answer
    x = 3,677.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.