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Finding the Fourth Proportional to 1,768.69, 2,652.72 and 673.12

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Solution

The fourth proportional to 1,768.69, 2,652.72 and 673.12 is: 1,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.69 : 2,652.72 = 673.12 : x
  2. Step 2: Convert to fraction form
    1,768.69/2,652.72 = 673.12/x
  3. Step 3: Cross multiply
    1,768.69x = 2,652.72 × 673.12
  4. Step 4: Simplify right side
    1,768.69x = 1,785,598.89
  5. Step 5: Solve for x
    x = 1,785,598.89/1,768.69
  6. Step 6: Final answer
    x = 1,009.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.