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Finding the Fourth Proportional to 2,076.84, 3,107.16 and 1,425.60

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Solution

The fourth proportional to 2,076.84, 3,107.16 and 1,425.60 is: 2,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.84 : 3,107.16 = 1,425.60 : x
  2. Step 2: Convert to fraction form
    2,076.84/3,107.16 = 1,425.60/x
  3. Step 3: Cross multiply
    2,076.84x = 3,107.16 × 1,425.60
  4. Step 4: Simplify right side
    2,076.84x = 4,429,567.30
  5. Step 5: Solve for x
    x = 4,429,567.30/2,076.84
  6. Step 6: Final answer
    x = 2,132.84

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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.