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Finding the Fourth Proportional to 2,034.72, 3,052.30 and 647.73

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Solution

The fourth proportional to 2,034.72, 3,052.30 and 647.73 is: 971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.72 : 3,052.30 = 647.73 : x
  2. Step 2: Convert to fraction form
    2,034.72/3,052.30 = 647.73/x
  3. Step 3: Cross multiply
    2,034.72x = 3,052.30 × 647.73
  4. Step 4: Simplify right side
    2,034.72x = 1,977,063.34
  5. Step 5: Solve for x
    x = 1,977,063.34/2,034.72
  6. Step 6: Final answer
    x = 971.66

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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.