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Finding the Fourth Proportional to 1,784.49, 2,676.81 and 485.96

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Solution

The fourth proportional to 1,784.49, 2,676.81 and 485.96 is: 728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.49 : 2,676.81 = 485.96 : x
  2. Step 2: Convert to fraction form
    1,784.49/2,676.81 = 485.96/x
  3. Step 3: Cross multiply
    1,784.49x = 2,676.81 × 485.96
  4. Step 4: Simplify right side
    1,784.49x = 1,300,809.20
  5. Step 5: Solve for x
    x = 1,300,809.20/1,784.49
  6. Step 6: Final answer
    x = 728.95

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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.