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Finding the Fourth Proportional to 1,453.14, 2,178.54 and 673.62

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Solution

The fourth proportional to 1,453.14, 2,178.54 and 673.62 is: 1,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.14 : 2,178.54 = 673.62 : x
  2. Step 2: Convert to fraction form
    1,453.14/2,178.54 = 673.62/x
  3. Step 3: Cross multiply
    1,453.14x = 2,178.54 × 673.62
  4. Step 4: Simplify right side
    1,453.14x = 1,467,508.11
  5. Step 5: Solve for x
    x = 1,467,508.11/1,453.14
  6. Step 6: Final answer
    x = 1,009.89

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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.