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Finding the Fourth Proportional to 2,141.97, 2,956.08 and 1,302.52

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Solution

The fourth proportional to 2,141.97, 2,956.08 and 1,302.52 is: 1,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.97 : 2,956.08 = 1,302.52 : x
  2. Step 2: Convert to fraction form
    2,141.97/2,956.08 = 1,302.52/x
  3. Step 3: Cross multiply
    2,141.97x = 2,956.08 × 1,302.52
  4. Step 4: Simplify right side
    2,141.97x = 3,850,346.81
  5. Step 5: Solve for x
    x = 3,850,346.81/2,141.97
  6. Step 6: Final answer
    x = 1,797.57

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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.