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Finding the Fourth Proportional to 1,484.26, 2,048.34 and 854.77

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Solution

The fourth proportional to 1,484.26, 2,048.34 and 854.77 is: 1,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.26 : 2,048.34 = 854.77 : x
  2. Step 2: Convert to fraction form
    1,484.26/2,048.34 = 854.77/x
  3. Step 3: Cross multiply
    1,484.26x = 2,048.34 × 854.77
  4. Step 4: Simplify right side
    1,484.26x = 1,750,859.58
  5. Step 5: Solve for x
    x = 1,750,859.58/1,484.26
  6. Step 6: Final answer
    x = 1,179.62

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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.