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Finding the Fourth Proportional to 2,405.06, 3,607.17 and 673.28

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Solution

The fourth proportional to 2,405.06, 3,607.17 and 673.28 is: 1,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.06 : 3,607.17 = 673.28 : x
  2. Step 2: Convert to fraction form
    2,405.06/3,607.17 = 673.28/x
  3. Step 3: Cross multiply
    2,405.06x = 3,607.17 × 673.28
  4. Step 4: Simplify right side
    2,405.06x = 2,428,617.38
  5. Step 5: Solve for x
    x = 2,428,617.38/2,405.06
  6. Step 6: Final answer
    x = 1,009.80

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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.