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Finding the Fourth Proportional to 2,788.34, 3,845.90 and 2,368.03

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Solution

The fourth proportional to 2,788.34, 3,845.90 and 2,368.03 is: 3,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.34 : 3,845.90 = 2,368.03 : x
  2. Step 2: Convert to fraction form
    2,788.34/3,845.90 = 2,368.03/x
  3. Step 3: Cross multiply
    2,788.34x = 3,845.90 × 2,368.03
  4. Step 4: Simplify right side
    2,788.34x = 9,107,194.74
  5. Step 5: Solve for x
    x = 9,107,194.74/2,788.34
  6. Step 6: Final answer
    x = 3,266.17

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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.