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Finding the Fourth Proportional to 1,764, 2,434.33 and 978.05

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Solution

The fourth proportional to 1,764, 2,434.33 and 978.05 is: 1,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764 : 2,434.33 = 978.05 : x
  2. Step 2: Convert to fraction form
    1,764/2,434.33 = 978.05/x
  3. Step 3: Cross multiply
    1,764x = 2,434.33 × 978.05
  4. Step 4: Simplify right side
    1,764x = 2,380,890.07
  5. Step 5: Solve for x
    x = 2,380,890.07/1,764
  6. Step 6: Final answer
    x = 1,349.71

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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.