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Finding the Fourth Proportional to 2,956.74, 4,080.16 and 1,630.42

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Solution

The fourth proportional to 2,956.74, 4,080.16 and 1,630.42 is: 2,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.74 : 4,080.16 = 1,630.42 : x
  2. Step 2: Convert to fraction form
    2,956.74/4,080.16 = 1,630.42/x
  3. Step 3: Cross multiply
    2,956.74x = 4,080.16 × 1,630.42
  4. Step 4: Simplify right side
    2,956.74x = 6,652,374.47
  5. Step 5: Solve for x
    x = 6,652,374.47/2,956.74
  6. Step 6: Final answer
    x = 2,249.90

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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.