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Finding the Fourth Proportional to 2,499.78, 3,449.72 and 1,365.42

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Solution

The fourth proportional to 2,499.78, 3,449.72 and 1,365.42 is: 1,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.78 : 3,449.72 = 1,365.42 : x
  2. Step 2: Convert to fraction form
    2,499.78/3,449.72 = 1,365.42/x
  3. Step 3: Cross multiply
    2,499.78x = 3,449.72 × 1,365.42
  4. Step 4: Simplify right side
    2,499.78x = 4,710,325.35
  5. Step 5: Solve for x
    x = 4,710,325.35/2,499.78
  6. Step 6: Final answer
    x = 1,884.29

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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.