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Finding the Fourth Proportional to 2,956.78, 4,080.38 and 1,630.58

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Solution

The fourth proportional to 2,956.78, 4,080.38 and 1,630.58 is: 2,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.78 : 4,080.38 = 1,630.58 : x
  2. Step 2: Convert to fraction form
    2,956.78/4,080.38 = 1,630.58/x
  3. Step 3: Cross multiply
    2,956.78x = 4,080.38 × 1,630.58
  4. Step 4: Simplify right side
    2,956.78x = 6,653,386.02
  5. Step 5: Solve for x
    x = 6,653,386.02/2,956.78
  6. Step 6: Final answer
    x = 2,250.21

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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.