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Finding the Fourth Proportional to 2,245.78, 3,365.70 and 1,013.77

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Solution

The fourth proportional to 2,245.78, 3,365.70 and 1,013.77 is: 1,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.78 : 3,365.70 = 1,013.77 : x
  2. Step 2: Convert to fraction form
    2,245.78/3,365.70 = 1,013.77/x
  3. Step 3: Cross multiply
    2,245.78x = 3,365.70 × 1,013.77
  4. Step 4: Simplify right side
    2,245.78x = 3,412,045.69
  5. Step 5: Solve for x
    x = 3,412,045.69/2,245.78
  6. Step 6: Final answer
    x = 1,519.31

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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.