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Finding the Fourth Proportional to 2,952.66, 4,429.25 and 978.29

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Solution

The fourth proportional to 2,952.66, 4,429.25 and 978.29 is: 1,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.66 : 4,429.25 = 978.29 : x
  2. Step 2: Convert to fraction form
    2,952.66/4,429.25 = 978.29/x
  3. Step 3: Cross multiply
    2,952.66x = 4,429.25 × 978.29
  4. Step 4: Simplify right side
    2,952.66x = 4,333,063.94
  5. Step 5: Solve for x
    x = 4,333,063.94/2,952.66
  6. Step 6: Final answer
    x = 1,467.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.