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Finding the Fourth Proportional to 1,525.86, 2,288.78 and 371.61

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Solution

The fourth proportional to 1,525.86, 2,288.78 and 371.61 is: 557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.86 : 2,288.78 = 371.61 : x
  2. Step 2: Convert to fraction form
    1,525.86/2,288.78 = 371.61/x
  3. Step 3: Cross multiply
    1,525.86x = 2,288.78 × 371.61
  4. Step 4: Simplify right side
    1,525.86x = 850,533.07
  5. Step 5: Solve for x
    x = 850,533.07/1,525.86
  6. Step 6: Final answer
    x = 557.41

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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.