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Finding the Fourth Proportional to 2,459.20, 3,394.04 and 1,411.08

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Solution

The fourth proportional to 2,459.20, 3,394.04 and 1,411.08 is: 1,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.20 : 3,394.04 = 1,411.08 : x
  2. Step 2: Convert to fraction form
    2,459.20/3,394.04 = 1,411.08/x
  3. Step 3: Cross multiply
    2,459.20x = 3,394.04 × 1,411.08
  4. Step 4: Simplify right side
    2,459.20x = 4,789,261.96
  5. Step 5: Solve for x
    x = 4,789,261.96/2,459.20
  6. Step 6: Final answer
    x = 1,947.49

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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.