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Finding the Fourth Proportional to 1,893.54, 2,841.12 and 595.12

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Solution

The fourth proportional to 1,893.54, 2,841.12 and 595.12 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.54 : 2,841.12 = 595.12 : x
  2. Step 2: Convert to fraction form
    1,893.54/2,841.12 = 595.12/x
  3. Step 3: Cross multiply
    1,893.54x = 2,841.12 × 595.12
  4. Step 4: Simplify right side
    1,893.54x = 1,690,807.33
  5. Step 5: Solve for x
    x = 1,690,807.33/1,893.54
  6. Step 6: Final answer
    x = 892.93

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