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Finding the Fourth Proportional to 1,784.23, 2,676.35 and 485.71

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Solution

The fourth proportional to 1,784.23, 2,676.35 and 485.71 is: 728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.23 : 2,676.35 = 485.71 : x
  2. Step 2: Convert to fraction form
    1,784.23/2,676.35 = 485.71/x
  3. Step 3: Cross multiply
    1,784.23x = 2,676.35 × 485.71
  4. Step 4: Simplify right side
    1,784.23x = 1,299,924.48
  5. Step 5: Solve for x
    x = 1,299,924.48/1,784.23
  6. Step 6: Final answer
    x = 728.56

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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.