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Finding the Fourth Proportional to 3,237.54, 4,457.79 and 2,442

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Solution

The fourth proportional to 3,237.54, 4,457.79 and 2,442 is: 3,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.54 : 4,457.79 = 2,442 : x
  2. Step 2: Convert to fraction form
    3,237.54/4,457.79 = 2,442/x
  3. Step 3: Cross multiply
    3,237.54x = 4,457.79 × 2,442
  4. Step 4: Simplify right side
    3,237.54x = 10,885,923.18
  5. Step 5: Solve for x
    x = 10,885,923.18/3,237.54
  6. Step 6: Final answer
    x = 3,362.41

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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.