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Finding the Fourth Proportional to 2,301.82, 3,453.14 and 1,004.20

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Solution

The fourth proportional to 2,301.82, 3,453.14 and 1,004.20 is: 1,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.82 : 3,453.14 = 1,004.20 : x
  2. Step 2: Convert to fraction form
    2,301.82/3,453.14 = 1,004.20/x
  3. Step 3: Cross multiply
    2,301.82x = 3,453.14 × 1,004.20
  4. Step 4: Simplify right side
    2,301.82x = 3,467,643.19
  5. Step 5: Solve for x
    x = 3,467,643.19/2,301.82
  6. Step 6: Final answer
    x = 1,506.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.