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Finding the Fourth Proportional to 2,698.26, 4,046.00 and 1,236.16

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Solution

The fourth proportional to 2,698.26, 4,046.00 and 1,236.16 is: 1,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.26 : 4,046.00 = 1,236.16 : x
  2. Step 2: Convert to fraction form
    2,698.26/4,046.00 = 1,236.16/x
  3. Step 3: Cross multiply
    2,698.26x = 4,046.00 × 1,236.16
  4. Step 4: Simplify right side
    2,698.26x = 5,001,509.19
  5. Step 5: Solve for x
    x = 5,001,509.19/2,698.26
  6. Step 6: Final answer
    x = 1,853.60

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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.