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Finding the Fourth Proportional to 1,749.34, 2,621.86 and 969.31

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Solution

The fourth proportional to 1,749.34, 2,621.86 and 969.31 is: 1,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.34 : 2,621.86 = 969.31 : x
  2. Step 2: Convert to fraction form
    1,749.34/2,621.86 = 969.31/x
  3. Step 3: Cross multiply
    1,749.34x = 2,621.86 × 969.31
  4. Step 4: Simplify right side
    1,749.34x = 2,541,395.12
  5. Step 5: Solve for x
    x = 2,541,395.12/1,749.34
  6. Step 6: Final answer
    x = 1,452.77

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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.