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Finding the Fourth Proportional to 2,763.54, 3,810.56 and 2,056.64

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Solution

The fourth proportional to 2,763.54, 3,810.56 and 2,056.64 is: 2,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.54 : 3,810.56 = 2,056.64 : x
  2. Step 2: Convert to fraction form
    2,763.54/3,810.56 = 2,056.64/x
  3. Step 3: Cross multiply
    2,763.54x = 3,810.56 × 2,056.64
  4. Step 4: Simplify right side
    2,763.54x = 7,836,950.12
  5. Step 5: Solve for x
    x = 7,836,950.12/2,763.54
  6. Step 6: Final answer
    x = 2,835.84

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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.