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Finding the Fourth Proportional to 2,507.97, 3,457 and 1,976.01

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Solution

The fourth proportional to 2,507.97, 3,457 and 1,976.01 is: 2,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,457 = 1,976.01 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,457 = 1,976.01/x
  3. Step 3: Cross multiply
    2,507.97x = 3,457 × 1,976.01
  4. Step 4: Simplify right side
    2,507.97x = 6,831,066.57
  5. Step 5: Solve for x
    x = 6,831,066.57/2,507.97
  6. Step 6: Final answer
    x = 2,723.74

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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.