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Finding the Fourth Proportional to 2,076.90, 3,114.27 and 1,294.98

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Solution

The fourth proportional to 2,076.90, 3,114.27 and 1,294.98 is: 1,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.90 : 3,114.27 = 1,294.98 : x
  2. Step 2: Convert to fraction form
    2,076.90/3,114.27 = 1,294.98/x
  3. Step 3: Cross multiply
    2,076.90x = 3,114.27 × 1,294.98
  4. Step 4: Simplify right side
    2,076.90x = 4,032,917.36
  5. Step 5: Solve for x
    x = 4,032,917.36/2,076.90
  6. Step 6: Final answer
    x = 1,941.80

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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.