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Finding the Fourth Proportional to 2,580.65, 3,561.21 and 1,461.58

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Solution

The fourth proportional to 2,580.65, 3,561.21 and 1,461.58 is: 2,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.65 : 3,561.21 = 1,461.58 : x
  2. Step 2: Convert to fraction form
    2,580.65/3,561.21 = 1,461.58/x
  3. Step 3: Cross multiply
    2,580.65x = 3,561.21 × 1,461.58
  4. Step 4: Simplify right side
    2,580.65x = 5,204,993.31
  5. Step 5: Solve for x
    x = 5,204,993.31/2,580.65
  6. Step 6: Final answer
    x = 2,016.93

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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.