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Finding the Fourth Proportional to 1,953.76, 2,694.72 and 1,534.72

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Solution

The fourth proportional to 1,953.76, 2,694.72 and 1,534.72 is: 2,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.76 : 2,694.72 = 1,534.72 : x
  2. Step 2: Convert to fraction form
    1,953.76/2,694.72 = 1,534.72/x
  3. Step 3: Cross multiply
    1,953.76x = 2,694.72 × 1,534.72
  4. Step 4: Simplify right side
    1,953.76x = 4,135,640.68
  5. Step 5: Solve for x
    x = 4,135,640.68/1,953.76
  6. Step 6: Final answer
    x = 2,116.76

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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.