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Finding the Fourth Proportional to 1,371, 1,892.46 and 819

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Solution

The fourth proportional to 1,371, 1,892.46 and 819 is: 1,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371 : 1,892.46 = 819 : x
  2. Step 2: Convert to fraction form
    1,371/1,892.46 = 819/x
  3. Step 3: Cross multiply
    1,371x = 1,892.46 × 819
  4. Step 4: Simplify right side
    1,371x = 1,549,924.74
  5. Step 5: Solve for x
    x = 1,549,924.74/1,371
  6. Step 6: Final answer
    x = 1,130.51

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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.