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Finding the Fourth Proportional to 1,664, 2,497.54 and 842.86

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Solution

The fourth proportional to 1,664, 2,497.54 and 842.86 is: 1,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664 : 2,497.54 = 842.86 : x
  2. Step 2: Convert to fraction form
    1,664/2,497.54 = 842.86/x
  3. Step 3: Cross multiply
    1,664x = 2,497.54 × 842.86
  4. Step 4: Simplify right side
    1,664x = 2,105,076.56
  5. Step 5: Solve for x
    x = 2,105,076.56/1,664
  6. Step 6: Final answer
    x = 1,265.07

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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.