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Finding the Fourth Proportional to 2,459, 3,688.54 and 727.64

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Solution

The fourth proportional to 2,459, 3,688.54 and 727.64 is: 1,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459 : 3,688.54 = 727.64 : x
  2. Step 2: Convert to fraction form
    2,459/3,688.54 = 727.64/x
  3. Step 3: Cross multiply
    2,459x = 3,688.54 × 727.64
  4. Step 4: Simplify right side
    2,459x = 2,683,929.25
  5. Step 5: Solve for x
    x = 2,683,929.25/2,459
  6. Step 6: Final answer
    x = 1,091.47

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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.