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Finding the Fourth Proportional to 2,673.42, 4,005.93 and 2,056.38

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Solution

The fourth proportional to 2,673.42, 4,005.93 and 2,056.38 is: 3,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.42 : 4,005.93 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    2,673.42/4,005.93 = 2,056.38/x
  3. Step 3: Cross multiply
    2,673.42x = 4,005.93 × 2,056.38
  4. Step 4: Simplify right side
    2,673.42x = 8,237,714.33
  5. Step 5: Solve for x
    x = 8,237,714.33/2,673.42
  6. Step 6: Final answer
    x = 3,081.34

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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.