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Finding the Fourth Proportional to 2,956.16, 4,078.08 and 1,776.80

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Solution

The fourth proportional to 2,956.16, 4,078.08 and 1,776.80 is: 2,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.16 : 4,078.08 = 1,776.80 : x
  2. Step 2: Convert to fraction form
    2,956.16/4,078.08 = 1,776.80/x
  3. Step 3: Cross multiply
    2,956.16x = 4,078.08 × 1,776.80
  4. Step 4: Simplify right side
    2,956.16x = 7,245,932.54
  5. Step 5: Solve for x
    x = 7,245,932.54/2,956.16
  6. Step 6: Final answer
    x = 2,451.13

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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.