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Finding the Fourth Proportional to 1,453.77, 2,005.42 and 1,010.91

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Solution

The fourth proportional to 1,453.77, 2,005.42 and 1,010.91 is: 1,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.77 : 2,005.42 = 1,010.91 : x
  2. Step 2: Convert to fraction form
    1,453.77/2,005.42 = 1,010.91/x
  3. Step 3: Cross multiply
    1,453.77x = 2,005.42 × 1,010.91
  4. Step 4: Simplify right side
    1,453.77x = 2,027,299.13
  5. Step 5: Solve for x
    x = 2,027,299.13/1,453.77
  6. Step 6: Final answer
    x = 1,394.51

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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.