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Finding the Fourth Proportional to 2,673.72, 4,009.96 and 1,029.52

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Solution

The fourth proportional to 2,673.72, 4,009.96 and 1,029.52 is: 1,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.72 : 4,009.96 = 1,029.52 : x
  2. Step 2: Convert to fraction form
    2,673.72/4,009.96 = 1,029.52/x
  3. Step 3: Cross multiply
    2,673.72x = 4,009.96 × 1,029.52
  4. Step 4: Simplify right side
    2,673.72x = 4,128,334.02
  5. Step 5: Solve for x
    x = 4,128,334.02/2,673.72
  6. Step 6: Final answer
    x = 1,544.04

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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.