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Finding the Fourth Proportional to 2,026.84, 2,796.87 and 1,142.86

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Solution

The fourth proportional to 2,026.84, 2,796.87 and 1,142.86 is: 1,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.84 : 2,796.87 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    2,026.84/2,796.87 = 1,142.86/x
  3. Step 3: Cross multiply
    2,026.84x = 2,796.87 × 1,142.86
  4. Step 4: Simplify right side
    2,026.84x = 3,196,430.17
  5. Step 5: Solve for x
    x = 3,196,430.17/2,026.84
  6. Step 6: Final answer
    x = 1,577.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.