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Finding the Fourth Proportional to 1,673.72, 2,509.60 and 577.78

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Solution

The fourth proportional to 1,673.72, 2,509.60 and 577.78 is: 866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.72 : 2,509.60 = 577.78 : x
  2. Step 2: Convert to fraction form
    1,673.72/2,509.60 = 577.78/x
  3. Step 3: Cross multiply
    1,673.72x = 2,509.60 × 577.78
  4. Step 4: Simplify right side
    1,673.72x = 1,449,996.69
  5. Step 5: Solve for x
    x = 1,449,996.69/1,673.72
  6. Step 6: Final answer
    x = 866.33

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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.