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Finding the Fourth Proportional to 2,560.12, 3,840.16 and 711.26

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Solution

The fourth proportional to 2,560.12, 3,840.16 and 711.26 is: 1,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.12 : 3,840.16 = 711.26 : x
  2. Step 2: Convert to fraction form
    2,560.12/3,840.16 = 711.26/x
  3. Step 3: Cross multiply
    2,560.12x = 3,840.16 × 711.26
  4. Step 4: Simplify right side
    2,560.12x = 2,731,352.20
  5. Step 5: Solve for x
    x = 2,731,352.20/2,560.12
  6. Step 6: Final answer
    x = 1,066.88

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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.