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Finding the Fourth Proportional to 1,709.22, 2,558.54 and 927.29

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Solution

The fourth proportional to 1,709.22, 2,558.54 and 927.29 is: 1,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.22 : 2,558.54 = 927.29 : x
  2. Step 2: Convert to fraction form
    1,709.22/2,558.54 = 927.29/x
  3. Step 3: Cross multiply
    1,709.22x = 2,558.54 × 927.29
  4. Step 4: Simplify right side
    1,709.22x = 2,372,491.13
  5. Step 5: Solve for x
    x = 2,372,491.13/1,709.22
  6. Step 6: Final answer
    x = 1,388.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.