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Finding the Fourth Proportional to 2,005.42, 2,987.96 and 1,893.64

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Solution

The fourth proportional to 2,005.42, 2,987.96 and 1,893.64 is: 2,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.42 : 2,987.96 = 1,893.64 : x
  2. Step 2: Convert to fraction form
    2,005.42/2,987.96 = 1,893.64/x
  3. Step 3: Cross multiply
    2,005.42x = 2,987.96 × 1,893.64
  4. Step 4: Simplify right side
    2,005.42x = 5,658,120.57
  5. Step 5: Solve for x
    x = 5,658,120.57/2,005.42
  6. Step 6: Final answer
    x = 2,821.41

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