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Finding the Fourth Proportional to 1,713.45, 2,560.16 and 1,266.82

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Solution

The fourth proportional to 1,713.45, 2,560.16 and 1,266.82 is: 1,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.45 : 2,560.16 = 1,266.82 : x
  2. Step 2: Convert to fraction form
    1,713.45/2,560.16 = 1,266.82/x
  3. Step 3: Cross multiply
    1,713.45x = 2,560.16 × 1,266.82
  4. Step 4: Simplify right side
    1,713.45x = 3,243,265.93
  5. Step 5: Solve for x
    x = 3,243,265.93/1,713.45
  6. Step 6: Final answer
    x = 1,892.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.