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Finding the Fourth Proportional to 3,148.66, 4,722.99 and 957.31

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Solution

The fourth proportional to 3,148.66, 4,722.99 and 957.31 is: 1,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.66 : 4,722.99 = 957.31 : x
  2. Step 2: Convert to fraction form
    3,148.66/4,722.99 = 957.31/x
  3. Step 3: Cross multiply
    3,148.66x = 4,722.99 × 957.31
  4. Step 4: Simplify right side
    3,148.66x = 4,521,365.56
  5. Step 5: Solve for x
    x = 4,521,365.56/3,148.66
  6. Step 6: Final answer
    x = 1,435.97

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Why These Related Problems?

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