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Finding the Fourth Proportional to 1,752.10, 2,623.29 and 884.60

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Solution

The fourth proportional to 1,752.10, 2,623.29 and 884.60 is: 1,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.10 : 2,623.29 = 884.60 : x
  2. Step 2: Convert to fraction form
    1,752.10/2,623.29 = 884.60/x
  3. Step 3: Cross multiply
    1,752.10x = 2,623.29 × 884.60
  4. Step 4: Simplify right side
    1,752.10x = 2,320,562.33
  5. Step 5: Solve for x
    x = 2,320,562.33/1,752.10
  6. Step 6: Final answer
    x = 1,324.45

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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.