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Finding the Fourth Proportional to 2,051.18, 3,076.78 and 512.18

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Solution

The fourth proportional to 2,051.18, 3,076.78 and 512.18 is: 768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.18 : 3,076.78 = 512.18 : x
  2. Step 2: Convert to fraction form
    2,051.18/3,076.78 = 512.18/x
  3. Step 3: Cross multiply
    2,051.18x = 3,076.78 × 512.18
  4. Step 4: Simplify right side
    2,051.18x = 1,575,865.18
  5. Step 5: Solve for x
    x = 1,575,865.18/2,051.18
  6. Step 6: Final answer
    x = 768.27

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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.