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Finding the Fourth Proportional to 2,051.86, 3,076.90 and 1,127.14

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Solution

The fourth proportional to 2,051.86, 3,076.90 and 1,127.14 is: 1,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.86 : 3,076.90 = 1,127.14 : x
  2. Step 2: Convert to fraction form
    2,051.86/3,076.90 = 1,127.14/x
  3. Step 3: Cross multiply
    2,051.86x = 3,076.90 × 1,127.14
  4. Step 4: Simplify right side
    2,051.86x = 3,468,097.07
  5. Step 5: Solve for x
    x = 3,468,097.07/2,051.86
  6. Step 6: Final answer
    x = 1,690.22

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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.