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Finding the Fourth Proportional to 2,376.48, 3,564.96 and 816.48

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Solution

The fourth proportional to 2,376.48, 3,564.96 and 816.48 is: 1,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.48 : 3,564.96 = 816.48 : x
  2. Step 2: Convert to fraction form
    2,376.48/3,564.96 = 816.48/x
  3. Step 3: Cross multiply
    2,376.48x = 3,564.96 × 816.48
  4. Step 4: Simplify right side
    2,376.48x = 2,910,718.54
  5. Step 5: Solve for x
    x = 2,910,718.54/2,376.48
  6. Step 6: Final answer
    x = 1,224.80

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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.