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Finding the Fourth Proportional to 1,453.05, 2,004.12 and 1,027.50

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Solution

The fourth proportional to 1,453.05, 2,004.12 and 1,027.50 is: 1,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.05 : 2,004.12 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    1,453.05/2,004.12 = 1,027.50/x
  3. Step 3: Cross multiply
    1,453.05x = 2,004.12 × 1,027.50
  4. Step 4: Simplify right side
    1,453.05x = 2,059,233.30
  5. Step 5: Solve for x
    x = 2,059,233.30/1,453.05
  6. Step 6: Final answer
    x = 1,417.18

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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.