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Finding the Fourth Proportional to 1,884.03, 2,815.23 and 1,436.83

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Solution

The fourth proportional to 1,884.03, 2,815.23 and 1,436.83 is: 2,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.03 : 2,815.23 = 1,436.83 : x
  2. Step 2: Convert to fraction form
    1,884.03/2,815.23 = 1,436.83/x
  3. Step 3: Cross multiply
    1,884.03x = 2,815.23 × 1,436.83
  4. Step 4: Simplify right side
    1,884.03x = 4,044,994.49
  5. Step 5: Solve for x
    x = 4,044,994.49/1,884.03
  6. Step 6: Final answer
    x = 2,146.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.