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Finding the Fourth Proportional to 2,394.78, 3,304.14 and 1,400.30

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Solution

The fourth proportional to 2,394.78, 3,304.14 and 1,400.30 is: 1,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.78 : 3,304.14 = 1,400.30 : x
  2. Step 2: Convert to fraction form
    2,394.78/3,304.14 = 1,400.30/x
  3. Step 3: Cross multiply
    2,394.78x = 3,304.14 × 1,400.30
  4. Step 4: Simplify right side
    2,394.78x = 4,626,784.23
  5. Step 5: Solve for x
    x = 4,626,784.23/2,394.78
  6. Step 6: Final answer
    x = 1,932.03

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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.