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Finding the Fourth Proportional to 1,764.25, 2,434.67 and 978.35

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Solution

The fourth proportional to 1,764.25, 2,434.67 and 978.35 is: 1,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.25 : 2,434.67 = 978.35 : x
  2. Step 2: Convert to fraction form
    1,764.25/2,434.67 = 978.35/x
  3. Step 3: Cross multiply
    1,764.25x = 2,434.67 × 978.35
  4. Step 4: Simplify right side
    1,764.25x = 2,381,959.39
  5. Step 5: Solve for x
    x = 2,381,959.39/1,764.25
  6. Step 6: Final answer
    x = 1,350.13

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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.