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Finding the Fourth Proportional to 1,673.44, 2,309.34 and 917.24

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Solution

The fourth proportional to 1,673.44, 2,309.34 and 917.24 is: 1,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.44 : 2,309.34 = 917.24 : x
  2. Step 2: Convert to fraction form
    1,673.44/2,309.34 = 917.24/x
  3. Step 3: Cross multiply
    1,673.44x = 2,309.34 × 917.24
  4. Step 4: Simplify right side
    1,673.44x = 2,118,219.02
  5. Step 5: Solve for x
    x = 2,118,219.02/1,673.44
  6. Step 6: Final answer
    x = 1,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.