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Finding the Fourth Proportional to 1,752.13, 2,629.67 and 828.35

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Solution

The fourth proportional to 1,752.13, 2,629.67 and 828.35 is: 1,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.13 : 2,629.67 = 828.35 : x
  2. Step 2: Convert to fraction form
    1,752.13/2,629.67 = 828.35/x
  3. Step 3: Cross multiply
    1,752.13x = 2,629.67 × 828.35
  4. Step 4: Simplify right side
    1,752.13x = 2,178,287.14
  5. Step 5: Solve for x
    x = 2,178,287.14/1,752.13
  6. Step 6: Final answer
    x = 1,243.23

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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.