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Finding the Fourth Proportional to 2,713.52, 4,064.82 and 2,056.52

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Solution

The fourth proportional to 2,713.52, 4,064.82 and 2,056.52 is: 3,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.52 : 4,064.82 = 2,056.52 : x
  2. Step 2: Convert to fraction form
    2,713.52/4,064.82 = 2,056.52/x
  3. Step 3: Cross multiply
    2,713.52x = 4,064.82 × 2,056.52
  4. Step 4: Simplify right side
    2,713.52x = 8,359,383.63
  5. Step 5: Solve for x
    x = 8,359,383.63/2,713.52
  6. Step 6: Final answer
    x = 3,080.64

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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.