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Finding the Fourth Proportional to 2,459.97, 3,394.36 and 1,465.23

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Solution

The fourth proportional to 2,459.97, 3,394.36 and 1,465.23 is: 2,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.97 : 3,394.36 = 1,465.23 : x
  2. Step 2: Convert to fraction form
    2,459.97/3,394.36 = 1,465.23/x
  3. Step 3: Cross multiply
    2,459.97x = 3,394.36 × 1,465.23
  4. Step 4: Simplify right side
    2,459.97x = 4,973,518.10
  5. Step 5: Solve for x
    x = 4,973,518.10/2,459.97
  6. Step 6: Final answer
    x = 2,021.78

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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.