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Finding the Fourth Proportional to 2,927.57, 4,390.29 and 979.31

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Solution

The fourth proportional to 2,927.57, 4,390.29 and 979.31 is: 1,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.57 : 4,390.29 = 979.31 : x
  2. Step 2: Convert to fraction form
    2,927.57/4,390.29 = 979.31/x
  3. Step 3: Cross multiply
    2,927.57x = 4,390.29 × 979.31
  4. Step 4: Simplify right side
    2,927.57x = 4,299,465.88
  5. Step 5: Solve for x
    x = 4,299,465.88/2,927.57
  6. Step 6: Final answer
    x = 1,468.62

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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.