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Finding the Fourth Proportional to 2,713.88, 4,070.82 and 1,071.20

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Solution

The fourth proportional to 2,713.88, 4,070.82 and 1,071.20 is: 1,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.88 : 4,070.82 = 1,071.20 : x
  2. Step 2: Convert to fraction form
    2,713.88/4,070.82 = 1,071.20/x
  3. Step 3: Cross multiply
    2,713.88x = 4,070.82 × 1,071.20
  4. Step 4: Simplify right side
    2,713.88x = 4,360,662.38
  5. Step 5: Solve for x
    x = 4,360,662.38/2,713.88
  6. Step 6: Final answer
    x = 1,606.80

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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.