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Finding the Fourth Proportional to 2,598.78, 3,898.86 and 1,365.84

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Solution

The fourth proportional to 2,598.78, 3,898.86 and 1,365.84 is: 2,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.78 : 3,898.86 = 1,365.84 : x
  2. Step 2: Convert to fraction form
    2,598.78/3,898.86 = 1,365.84/x
  3. Step 3: Cross multiply
    2,598.78x = 3,898.86 × 1,365.84
  4. Step 4: Simplify right side
    2,598.78x = 5,325,218.94
  5. Step 5: Solve for x
    x = 5,325,218.94/2,598.78
  6. Step 6: Final answer
    x = 2,049.12

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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.