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Finding the Fourth Proportional to 2,459.84, 3,393.62 and 1,620.98

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Solution

The fourth proportional to 2,459.84, 3,393.62 and 1,620.98 is: 2,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.84 : 3,393.62 = 1,620.98 : x
  2. Step 2: Convert to fraction form
    2,459.84/3,393.62 = 1,620.98/x
  3. Step 3: Cross multiply
    2,459.84x = 3,393.62 × 1,620.98
  4. Step 4: Simplify right side
    2,459.84x = 5,500,990.15
  5. Step 5: Solve for x
    x = 5,500,990.15/2,459.84
  6. Step 6: Final answer
    x = 2,236.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.