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Finding the Fourth Proportional to 1,765.23, 2,435.99 and 979.26

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Solution

The fourth proportional to 1,765.23, 2,435.99 and 979.26 is: 1,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.23 : 2,435.99 = 979.26 : x
  2. Step 2: Convert to fraction form
    1,765.23/2,435.99 = 979.26/x
  3. Step 3: Cross multiply
    1,765.23x = 2,435.99 × 979.26
  4. Step 4: Simplify right side
    1,765.23x = 2,385,462.67
  5. Step 5: Solve for x
    x = 2,385,462.67/1,765.23
  6. Step 6: Final answer
    x = 1,351.36

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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.