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Finding the Fourth Proportional to 1,897.21, 2,845.82 and 1,036.99

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Solution

The fourth proportional to 1,897.21, 2,845.82 and 1,036.99 is: 1,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.21 : 2,845.82 = 1,036.99 : x
  2. Step 2: Convert to fraction form
    1,897.21/2,845.82 = 1,036.99/x
  3. Step 3: Cross multiply
    1,897.21x = 2,845.82 × 1,036.99
  4. Step 4: Simplify right side
    1,897.21x = 2,951,082.36
  5. Step 5: Solve for x
    x = 2,951,082.36/1,897.21
  6. Step 6: Final answer
    x = 1,555.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.