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Finding the Fourth Proportional to 2,171.37, 3,256.37 and 784.51

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Solution

The fourth proportional to 2,171.37, 3,256.37 and 784.51 is: 1,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.37 : 3,256.37 = 784.51 : x
  2. Step 2: Convert to fraction form
    2,171.37/3,256.37 = 784.51/x
  3. Step 3: Cross multiply
    2,171.37x = 3,256.37 × 784.51
  4. Step 4: Simplify right side
    2,171.37x = 2,554,650.91
  5. Step 5: Solve for x
    x = 2,554,650.91/2,171.37
  6. Step 6: Final answer
    x = 1,176.52

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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.