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Finding the Fourth Proportional to 1,673.78, 2,309.64 and 1,010.54

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Solution

The fourth proportional to 1,673.78, 2,309.64 and 1,010.54 is: 1,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.78 : 2,309.64 = 1,010.54 : x
  2. Step 2: Convert to fraction form
    1,673.78/2,309.64 = 1,010.54/x
  3. Step 3: Cross multiply
    1,673.78x = 2,309.64 × 1,010.54
  4. Step 4: Simplify right side
    1,673.78x = 2,333,983.61
  5. Step 5: Solve for x
    x = 2,333,983.61/1,673.78
  6. Step 6: Final answer
    x = 1,394.44

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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.