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Finding the Fourth Proportional to 2,394.83, 3,305.00 and 1,400.06

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Solution

The fourth proportional to 2,394.83, 3,305.00 and 1,400.06 is: 1,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.83 : 3,305.00 = 1,400.06 : x
  2. Step 2: Convert to fraction form
    2,394.83/3,305.00 = 1,400.06/x
  3. Step 3: Cross multiply
    2,394.83x = 3,305.00 × 1,400.06
  4. Step 4: Simplify right side
    2,394.83x = 4,627,174.77
  5. Step 5: Solve for x
    x = 4,627,174.77/2,394.83
  6. Step 6: Final answer
    x = 1,932.16

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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.