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Finding the Fourth Proportional to 1,764.30, 2,434.82 and 978.30

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Solution

The fourth proportional to 1,764.30, 2,434.82 and 978.30 is: 1,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.30 : 2,434.82 = 978.30 : x
  2. Step 2: Convert to fraction form
    1,764.30/2,434.82 = 978.30/x
  3. Step 3: Cross multiply
    1,764.30x = 2,434.82 × 978.30
  4. Step 4: Simplify right side
    1,764.30x = 2,381,984.41
  5. Step 5: Solve for x
    x = 2,381,984.41/1,764.30
  6. Step 6: Final answer
    x = 1,350.10

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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.