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Finding the Fourth Proportional to 2,976.29, 4,107.00 and 1,781.65

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Solution

The fourth proportional to 2,976.29, 4,107.00 and 1,781.65 is: 2,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.29 : 4,107.00 = 1,781.65 : x
  2. Step 2: Convert to fraction form
    2,976.29/4,107.00 = 1,781.65/x
  3. Step 3: Cross multiply
    2,976.29x = 4,107.00 × 1,781.65
  4. Step 4: Simplify right side
    2,976.29x = 7,317,225.26
  5. Step 5: Solve for x
    x = 7,317,225.26/2,976.29
  6. Step 6: Final answer
    x = 2,458.50

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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.