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Finding the Fourth Proportional to 1,764.24, 2,434.62 and 978.27

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Solution

The fourth proportional to 1,764.24, 2,434.62 and 978.27 is: 1,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.24 : 2,434.62 = 978.27 : x
  2. Step 2: Convert to fraction form
    1,764.24/2,434.62 = 978.27/x
  3. Step 3: Cross multiply
    1,764.24x = 2,434.62 × 978.27
  4. Step 4: Simplify right side
    1,764.24x = 2,381,715.71
  5. Step 5: Solve for x
    x = 2,381,715.71/1,764.24
  6. Step 6: Final answer
    x = 1,350.00

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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.