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Finding the Fourth Proportional to 2,640.47, 3,643.99 and 1,461.51

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Solution

The fourth proportional to 2,640.47, 3,643.99 and 1,461.51 is: 2,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.47 : 3,643.99 = 1,461.51 : x
  2. Step 2: Convert to fraction form
    2,640.47/3,643.99 = 1,461.51/x
  3. Step 3: Cross multiply
    2,640.47x = 3,643.99 × 1,461.51
  4. Step 4: Simplify right side
    2,640.47x = 5,325,724.17
  5. Step 5: Solve for x
    x = 5,325,724.17/2,640.47
  6. Step 6: Final answer
    x = 2,016.96

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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.