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Finding the Fourth Proportional to 2,459.51, 3,394.07 and 1,411.49

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Solution

The fourth proportional to 2,459.51, 3,394.07 and 1,411.49 is: 1,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.51 : 3,394.07 = 1,411.49 : x
  2. Step 2: Convert to fraction form
    2,459.51/3,394.07 = 1,411.49/x
  3. Step 3: Cross multiply
    2,459.51x = 3,394.07 × 1,411.49
  4. Step 4: Simplify right side
    2,459.51x = 4,790,682.42
  5. Step 5: Solve for x
    x = 4,790,682.42/2,459.51
  6. Step 6: Final answer
    x = 1,947.82

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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.