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Finding the Fourth Proportional to 2,956.84, 4,080.38 and 1,778.29

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Solution

The fourth proportional to 2,956.84, 4,080.38 and 1,778.29 is: 2,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.84 : 4,080.38 = 1,778.29 : x
  2. Step 2: Convert to fraction form
    2,956.84/4,080.38 = 1,778.29/x
  3. Step 3: Cross multiply
    2,956.84x = 4,080.38 × 1,778.29
  4. Step 4: Simplify right side
    2,956.84x = 7,256,079.86
  5. Step 5: Solve for x
    x = 7,256,079.86/2,956.84
  6. Step 6: Final answer
    x = 2,454.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.