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Finding the Fourth Proportional to 2,051.20, 3,076.80 and 896.68

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Solution

The fourth proportional to 2,051.20, 3,076.80 and 896.68 is: 1,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.20 : 3,076.80 = 896.68 : x
  2. Step 2: Convert to fraction form
    2,051.20/3,076.80 = 896.68/x
  3. Step 3: Cross multiply
    2,051.20x = 3,076.80 × 896.68
  4. Step 4: Simplify right side
    2,051.20x = 2,758,905.02
  5. Step 5: Solve for x
    x = 2,758,905.02/2,051.20
  6. Step 6: Final answer
    x = 1,345.02

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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.