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Finding the Fourth Proportional to 2,672.68, 4,009.74 and 1,029.28

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Solution

The fourth proportional to 2,672.68, 4,009.74 and 1,029.28 is: 1,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.68 : 4,009.74 = 1,029.28 : x
  2. Step 2: Convert to fraction form
    2,672.68/4,009.74 = 1,029.28/x
  3. Step 3: Cross multiply
    2,672.68x = 4,009.74 × 1,029.28
  4. Step 4: Simplify right side
    2,672.68x = 4,127,145.19
  5. Step 5: Solve for x
    x = 4,127,145.19/2,672.68
  6. Step 6: Final answer
    x = 1,544.20

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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.