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Finding the Fourth Proportional to 1,673.26, 2,308.82 and 1,114.56

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Solution

The fourth proportional to 1,673.26, 2,308.82 and 1,114.56 is: 1,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.26 : 2,308.82 = 1,114.56 : x
  2. Step 2: Convert to fraction form
    1,673.26/2,308.82 = 1,114.56/x
  3. Step 3: Cross multiply
    1,673.26x = 2,308.82 × 1,114.56
  4. Step 4: Simplify right side
    1,673.26x = 2,573,312.85
  5. Step 5: Solve for x
    x = 2,573,312.85/1,673.26
  6. Step 6: Final answer
    x = 1,537.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.