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Finding the Fourth Proportional to 2,376.74, 3,272.00 and 1,786.25

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Solution

The fourth proportional to 2,376.74, 3,272.00 and 1,786.25 is: 2,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.74 : 3,272.00 = 1,786.25 : x
  2. Step 2: Convert to fraction form
    2,376.74/3,272.00 = 1,786.25/x
  3. Step 3: Cross multiply
    2,376.74x = 3,272.00 × 1,786.25
  4. Step 4: Simplify right side
    2,376.74x = 5,844,609.25
  5. Step 5: Solve for x
    x = 5,844,609.25/2,376.74
  6. Step 6: Final answer
    x = 2,459.08

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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.