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Finding the Fourth Proportional to 2,502.66, 3,454.88 and 1,664.76

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Solution

The fourth proportional to 2,502.66, 3,454.88 and 1,664.76 is: 2,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.66 : 3,454.88 = 1,664.76 : x
  2. Step 2: Convert to fraction form
    2,502.66/3,454.88 = 1,664.76/x
  3. Step 3: Cross multiply
    2,502.66x = 3,454.88 × 1,664.76
  4. Step 4: Simplify right side
    2,502.66x = 5,751,546.03
  5. Step 5: Solve for x
    x = 5,751,546.03/2,502.66
  6. Step 6: Final answer
    x = 2,298.17

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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.