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Finding the Fourth Proportional to 2,508.94, 3,463.25 and 1,461

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Solution

The fourth proportional to 2,508.94, 3,463.25 and 1,461 is: 2,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.94 : 3,463.25 = 1,461 : x
  2. Step 2: Convert to fraction form
    2,508.94/3,463.25 = 1,461/x
  3. Step 3: Cross multiply
    2,508.94x = 3,463.25 × 1,461
  4. Step 4: Simplify right side
    2,508.94x = 5,059,808.25
  5. Step 5: Solve for x
    x = 5,059,808.25/2,508.94
  6. Step 6: Final answer
    x = 2,016.71

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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.