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Finding the Fourth Proportional to 1,738.67, 2,605.56 and 812.03

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Solution

The fourth proportional to 1,738.67, 2,605.56 and 812.03 is: 1,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.67 : 2,605.56 = 812.03 : x
  2. Step 2: Convert to fraction form
    1,738.67/2,605.56 = 812.03/x
  3. Step 3: Cross multiply
    1,738.67x = 2,605.56 × 812.03
  4. Step 4: Simplify right side
    1,738.67x = 2,115,779.86
  5. Step 5: Solve for x
    x = 2,115,779.86/1,738.67
  6. Step 6: Final answer
    x = 1,216.90

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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.