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Finding the Fourth Proportional to 1,525, 2,105.22 and 1,470.28

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Solution

The fourth proportional to 1,525, 2,105.22 and 1,470.28 is: 2,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525 : 2,105.22 = 1,470.28 : x
  2. Step 2: Convert to fraction form
    1,525/2,105.22 = 1,470.28/x
  3. Step 3: Cross multiply
    1,525x = 2,105.22 × 1,470.28
  4. Step 4: Simplify right side
    1,525x = 3,095,262.86
  5. Step 5: Solve for x
    x = 3,095,262.86/1,525
  6. Step 6: Final answer
    x = 2,029.68

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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.