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Finding the Fourth Proportional to 1,764.41, 2,434.89 and 978.50

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Solution

The fourth proportional to 1,764.41, 2,434.89 and 978.50 is: 1,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.41 : 2,434.89 = 978.50 : x
  2. Step 2: Convert to fraction form
    1,764.41/2,434.89 = 978.50/x
  3. Step 3: Cross multiply
    1,764.41x = 2,434.89 × 978.50
  4. Step 4: Simplify right side
    1,764.41x = 2,382,549.62
  5. Step 5: Solve for x
    x = 2,382,549.62/1,764.41
  6. Step 6: Final answer
    x = 1,350.34

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