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Finding the Fourth Proportional to 2,713.52, 4,072.59 and 1,071.23

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Solution

The fourth proportional to 2,713.52, 4,072.59 and 1,071.23 is: 1,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.52 : 4,072.59 = 1,071.23 : x
  2. Step 2: Convert to fraction form
    2,713.52/4,072.59 = 1,071.23/x
  3. Step 3: Cross multiply
    2,713.52x = 4,072.59 × 1,071.23
  4. Step 4: Simplify right side
    2,713.52x = 4,362,680.59
  5. Step 5: Solve for x
    x = 4,362,680.59/2,713.52
  6. Step 6: Final answer
    x = 1,607.76

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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.