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Finding the Fourth Proportional to 1,743.86, 2,406.53 and 957.91

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Solution

The fourth proportional to 1,743.86, 2,406.53 and 957.91 is: 1,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.86 : 2,406.53 = 957.91 : x
  2. Step 2: Convert to fraction form
    1,743.86/2,406.53 = 957.91/x
  3. Step 3: Cross multiply
    1,743.86x = 2,406.53 × 957.91
  4. Step 4: Simplify right side
    1,743.86x = 2,305,228.35
  5. Step 5: Solve for x
    x = 2,305,228.35/1,743.86
  6. Step 6: Final answer
    x = 1,321.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.