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Finding the Fourth Proportional to 2,562.54, 3,546.45 and 2,501.22

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Solution

The fourth proportional to 2,562.54, 3,546.45 and 2,501.22 is: 3,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.54 : 3,546.45 = 2,501.22 : x
  2. Step 2: Convert to fraction form
    2,562.54/3,546.45 = 2,501.22/x
  3. Step 3: Cross multiply
    2,562.54x = 3,546.45 × 2,501.22
  4. Step 4: Simplify right side
    2,562.54x = 8,870,451.67
  5. Step 5: Solve for x
    x = 8,870,451.67/2,562.54
  6. Step 6: Final answer
    x = 3,461.59

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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.