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Finding the Fourth Proportional to 2,748.85, 4,123.95 and 801.07

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Solution

The fourth proportional to 2,748.85, 4,123.95 and 801.07 is: 1,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.85 : 4,123.95 = 801.07 : x
  2. Step 2: Convert to fraction form
    2,748.85/4,123.95 = 801.07/x
  3. Step 3: Cross multiply
    2,748.85x = 4,123.95 × 801.07
  4. Step 4: Simplify right side
    2,748.85x = 3,303,548.00
  5. Step 5: Solve for x
    x = 3,303,548.00/2,748.85
  6. Step 6: Final answer
    x = 1,201.79

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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.