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Finding the Fourth Proportional to 2,560.79, 3,534.40 and 1,663.27

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Solution

The fourth proportional to 2,560.79, 3,534.40 and 1,663.27 is: 2,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.79 : 3,534.40 = 1,663.27 : x
  2. Step 2: Convert to fraction form
    2,560.79/3,534.40 = 1,663.27/x
  3. Step 3: Cross multiply
    2,560.79x = 3,534.40 × 1,663.27
  4. Step 4: Simplify right side
    2,560.79x = 5,878,661.49
  5. Step 5: Solve for x
    x = 5,878,661.49/2,560.79
  6. Step 6: Final answer
    x = 2,295.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.