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Finding the Fourth Proportional to 2,504.57, 3,456.07 and 1,560.21

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Solution

The fourth proportional to 2,504.57, 3,456.07 and 1,560.21 is: 2,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.57 : 3,456.07 = 1,560.21 : x
  2. Step 2: Convert to fraction form
    2,504.57/3,456.07 = 1,560.21/x
  3. Step 3: Cross multiply
    2,504.57x = 3,456.07 × 1,560.21
  4. Step 4: Simplify right side
    2,504.57x = 5,392,197.55
  5. Step 5: Solve for x
    x = 5,392,197.55/2,504.57
  6. Step 6: Final answer
    x = 2,152.94

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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.