Home / 2,459.16-3,688.94-998.40

Finding the Fourth Proportional to 2,459.16, 3,688.94 and 998.40

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Solution

The fourth proportional to 2,459.16, 3,688.94 and 998.40 is: 1,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.16 : 3,688.94 = 998.40 : x
  2. Step 2: Convert to fraction form
    2,459.16/3,688.94 = 998.40/x
  3. Step 3: Cross multiply
    2,459.16x = 3,688.94 × 998.40
  4. Step 4: Simplify right side
    2,459.16x = 3,683,037.70
  5. Step 5: Solve for x
    x = 3,683,037.70/2,459.16
  6. Step 6: Final answer
    x = 1,497.68

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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.