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Finding the Fourth Proportional to 2,777.67, 4,165.56 and 928.35

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Solution

The fourth proportional to 2,777.67, 4,165.56 and 928.35 is: 1,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.67 : 4,165.56 = 928.35 : x
  2. Step 2: Convert to fraction form
    2,777.67/4,165.56 = 928.35/x
  3. Step 3: Cross multiply
    2,777.67x = 4,165.56 × 928.35
  4. Step 4: Simplify right side
    2,777.67x = 3,867,097.63
  5. Step 5: Solve for x
    x = 3,867,097.63/2,777.67
  6. Step 6: Final answer
    x = 1,392.21

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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.