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Finding the Fourth Proportional to 1,893.05, 2,840.51 and 853.77

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Solution

The fourth proportional to 1,893.05, 2,840.51 and 853.77 is: 1,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.05 : 2,840.51 = 853.77 : x
  2. Step 2: Convert to fraction form
    1,893.05/2,840.51 = 853.77/x
  3. Step 3: Cross multiply
    1,893.05x = 2,840.51 × 853.77
  4. Step 4: Simplify right side
    1,893.05x = 2,425,142.22
  5. Step 5: Solve for x
    x = 2,425,142.22/1,893.05
  6. Step 6: Final answer
    x = 1,281.08

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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.