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Finding the Fourth Proportional to 1,640.15, 2,262.93 and 1,010.78

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Solution

The fourth proportional to 1,640.15, 2,262.93 and 1,010.78 is: 1,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.15 : 2,262.93 = 1,010.78 : x
  2. Step 2: Convert to fraction form
    1,640.15/2,262.93 = 1,010.78/x
  3. Step 3: Cross multiply
    1,640.15x = 2,262.93 × 1,010.78
  4. Step 4: Simplify right side
    1,640.15x = 2,287,319.33
  5. Step 5: Solve for x
    x = 2,287,319.33/1,640.15
  6. Step 6: Final answer
    x = 1,394.58

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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.