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Finding the Fourth Proportional to 3,076.75, 4,242.21 and 2,133.35

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Solution

The fourth proportional to 3,076.75, 4,242.21 and 2,133.35 is: 2,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.75 : 4,242.21 = 2,133.35 : x
  2. Step 2: Convert to fraction form
    3,076.75/4,242.21 = 2,133.35/x
  3. Step 3: Cross multiply
    3,076.75x = 4,242.21 × 2,133.35
  4. Step 4: Simplify right side
    3,076.75x = 9,050,105.40
  5. Step 5: Solve for x
    x = 9,050,105.40/3,076.75
  6. Step 6: Final answer
    x = 2,941.45

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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.