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Finding the Fourth Proportional to 1,483.92, 2,047.90 and 854.43

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Solution

The fourth proportional to 1,483.92, 2,047.90 and 854.43 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.92 : 2,047.90 = 854.43 : x
  2. Step 2: Convert to fraction form
    1,483.92/2,047.90 = 854.43/x
  3. Step 3: Cross multiply
    1,483.92x = 2,047.90 × 854.43
  4. Step 4: Simplify right side
    1,483.92x = 1,749,785.06
  5. Step 5: Solve for x
    x = 1,749,785.06/1,483.92
  6. Step 6: Final answer
    x = 1,179.16

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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.