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Finding the Fourth Proportional to 1,761.45, 2,654.30 and 1,460.09

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Solution

The fourth proportional to 1,761.45, 2,654.30 and 1,460.09 is: 2,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.45 : 2,654.30 = 1,460.09 : x
  2. Step 2: Convert to fraction form
    1,761.45/2,654.30 = 1,460.09/x
  3. Step 3: Cross multiply
    1,761.45x = 2,654.30 × 1,460.09
  4. Step 4: Simplify right side
    1,761.45x = 3,875,496.32
  5. Step 5: Solve for x
    x = 3,875,496.32/1,761.45
  6. Step 6: Final answer
    x = 2,200.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.