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Finding the Fourth Proportional to 1,484.54, 2,048.64 and 821.41

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Solution

The fourth proportional to 1,484.54, 2,048.64 and 821.41 is: 1,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.54 : 2,048.64 = 821.41 : x
  2. Step 2: Convert to fraction form
    1,484.54/2,048.64 = 821.41/x
  3. Step 3: Cross multiply
    1,484.54x = 2,048.64 × 821.41
  4. Step 4: Simplify right side
    1,484.54x = 1,682,765.18
  5. Step 5: Solve for x
    x = 1,682,765.18/1,484.54
  6. Step 6: Final answer
    x = 1,133.53

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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.