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Finding the Fourth Proportional to 1,768.85, 2,652.50 and 890.79

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Solution

The fourth proportional to 1,768.85, 2,652.50 and 890.79 is: 1,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.85 : 2,652.50 = 890.79 : x
  2. Step 2: Convert to fraction form
    1,768.85/2,652.50 = 890.79/x
  3. Step 3: Cross multiply
    1,768.85x = 2,652.50 × 890.79
  4. Step 4: Simplify right side
    1,768.85x = 2,362,816.02
  5. Step 5: Solve for x
    x = 2,362,816.02/1,768.85
  6. Step 6: Final answer
    x = 1,335.80

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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.