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Finding the Fourth Proportional to 2,530.74, 3,796.54 and 2,070.33

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Solution

The fourth proportional to 2,530.74, 3,796.54 and 2,070.33 is: 3,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.74 : 3,796.54 = 2,070.33 : x
  2. Step 2: Convert to fraction form
    2,530.74/3,796.54 = 2,070.33/x
  3. Step 3: Cross multiply
    2,530.74x = 3,796.54 × 2,070.33
  4. Step 4: Simplify right side
    2,530.74x = 7,860,071.25
  5. Step 5: Solve for x
    x = 7,860,071.25/2,530.74
  6. Step 6: Final answer
    x = 3,105.83

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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.