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Finding the Fourth Proportional to 2,459.16, 3,688.74 and 998.33

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Solution

The fourth proportional to 2,459.16, 3,688.74 and 998.33 is: 1,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.16 : 3,688.74 = 998.33 : x
  2. Step 2: Convert to fraction form
    2,459.16/3,688.74 = 998.33/x
  3. Step 3: Cross multiply
    2,459.16x = 3,688.74 × 998.33
  4. Step 4: Simplify right side
    2,459.16x = 3,682,561.36
  5. Step 5: Solve for x
    x = 3,682,561.36/2,459.16
  6. Step 6: Final answer
    x = 1,497.49

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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.