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Finding the Fourth Proportional to 1,784.38, 2,676.77 and 485.86

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Solution

The fourth proportional to 1,784.38, 2,676.77 and 485.86 is: 728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.38 : 2,676.77 = 485.86 : x
  2. Step 2: Convert to fraction form
    1,784.38/2,676.77 = 485.86/x
  3. Step 3: Cross multiply
    1,784.38x = 2,676.77 × 485.86
  4. Step 4: Simplify right side
    1,784.38x = 1,300,535.47
  5. Step 5: Solve for x
    x = 1,300,535.47/1,784.38
  6. Step 6: Final answer
    x = 728.84

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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.