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Finding the Fourth Proportional to 2,394.78, 3,305.37 and 1,598.14

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Solution

The fourth proportional to 2,394.78, 3,305.37 and 1,598.14 is: 2,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.78 : 3,305.37 = 1,598.14 : x
  2. Step 2: Convert to fraction form
    2,394.78/3,305.37 = 1,598.14/x
  3. Step 3: Cross multiply
    2,394.78x = 3,305.37 × 1,598.14
  4. Step 4: Simplify right side
    2,394.78x = 5,282,444.01
  5. Step 5: Solve for x
    x = 5,282,444.01/2,394.78
  6. Step 6: Final answer
    x = 2,205.82

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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.