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Finding the Fourth Proportional to 1,482.93, 2,046.35 and 819.81

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Solution

The fourth proportional to 1,482.93, 2,046.35 and 819.81 is: 1,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.93 : 2,046.35 = 819.81 : x
  2. Step 2: Convert to fraction form
    1,482.93/2,046.35 = 819.81/x
  3. Step 3: Cross multiply
    1,482.93x = 2,046.35 × 819.81
  4. Step 4: Simplify right side
    1,482.93x = 1,677,614.09
  5. Step 5: Solve for x
    x = 1,677,614.09/1,482.93
  6. Step 6: Final answer
    x = 1,131.28

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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.