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Finding the Fourth Proportional to 1,956, 2,928.54 and 1,613.46

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Solution

The fourth proportional to 1,956, 2,928.54 and 1,613.46 is: 2,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956 : 2,928.54 = 1,613.46 : x
  2. Step 2: Convert to fraction form
    1,956/2,928.54 = 1,613.46/x
  3. Step 3: Cross multiply
    1,956x = 2,928.54 × 1,613.46
  4. Step 4: Simplify right side
    1,956x = 4,725,082.15
  5. Step 5: Solve for x
    x = 4,725,082.15/1,956
  6. Step 6: Final answer
    x = 2,415.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.