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Finding the Fourth Proportional to 2,459.98, 3,689.16 and 998.74

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Solution

The fourth proportional to 2,459.98, 3,689.16 and 998.74 is: 1,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.98 : 3,689.16 = 998.74 : x
  2. Step 2: Convert to fraction form
    2,459.98/3,689.16 = 998.74/x
  3. Step 3: Cross multiply
    2,459.98x = 3,689.16 × 998.74
  4. Step 4: Simplify right side
    2,459.98x = 3,684,511.66
  5. Step 5: Solve for x
    x = 3,684,511.66/2,459.98
  6. Step 6: Final answer
    x = 1,497.78

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1.5x scale

Why These Related Problems?

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