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Finding the Fourth Proportional to 1,482.51, 2,045.82 and 819.39

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Solution

The fourth proportional to 1,482.51, 2,045.82 and 819.39 is: 1,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.51 : 2,045.82 = 819.39 : x
  2. Step 2: Convert to fraction form
    1,482.51/2,045.82 = 819.39/x
  3. Step 3: Cross multiply
    1,482.51x = 2,045.82 × 819.39
  4. Step 4: Simplify right side
    1,482.51x = 1,676,324.45
  5. Step 5: Solve for x
    x = 1,676,324.45/1,482.51
  6. Step 6: Final answer
    x = 1,130.73

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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.