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Finding the Fourth Proportional to 2,026.58, 2,796.62 and 1,142.34

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Solution

The fourth proportional to 2,026.58, 2,796.62 and 1,142.34 is: 1,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.58 : 2,796.62 = 1,142.34 : x
  2. Step 2: Convert to fraction form
    2,026.58/2,796.62 = 1,142.34/x
  3. Step 3: Cross multiply
    2,026.58x = 2,796.62 × 1,142.34
  4. Step 4: Simplify right side
    2,026.58x = 3,194,690.89
  5. Step 5: Solve for x
    x = 3,194,690.89/2,026.58
  6. Step 6: Final answer
    x = 1,576.40

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Why These Related Problems?

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