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Finding the Fourth Proportional to 2,767.85, 4,150.35 and 918.30

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Solution

The fourth proportional to 2,767.85, 4,150.35 and 918.30 is: 1,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.85 : 4,150.35 = 918.30 : x
  2. Step 2: Convert to fraction form
    2,767.85/4,150.35 = 918.30/x
  3. Step 3: Cross multiply
    2,767.85x = 4,150.35 × 918.30
  4. Step 4: Simplify right side
    2,767.85x = 3,811,266.41
  5. Step 5: Solve for x
    x = 3,811,266.41/2,767.85
  6. Step 6: Final answer
    x = 1,376.98

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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.