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Finding the Fourth Proportional to 2,673.06, 4,009.28 and 824.01

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Solution

The fourth proportional to 2,673.06, 4,009.28 and 824.01 is: 1,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.06 : 4,009.28 = 824.01 : x
  2. Step 2: Convert to fraction form
    2,673.06/4,009.28 = 824.01/x
  3. Step 3: Cross multiply
    2,673.06x = 4,009.28 × 824.01
  4. Step 4: Simplify right side
    2,673.06x = 3,303,682.69
  5. Step 5: Solve for x
    x = 3,303,682.69/2,673.06
  6. Step 6: Final answer
    x = 1,235.92

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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.