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Finding the Fourth Proportional to 2,956.75, 4,080.32 and 1,714.75

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Solution

The fourth proportional to 2,956.75, 4,080.32 and 1,714.75 is: 2,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.75 : 4,080.32 = 1,714.75 : x
  2. Step 2: Convert to fraction form
    2,956.75/4,080.32 = 1,714.75/x
  3. Step 3: Cross multiply
    2,956.75x = 4,080.32 × 1,714.75
  4. Step 4: Simplify right side
    2,956.75x = 6,996,720.15
  5. Step 5: Solve for x
    x = 6,996,720.15/2,956.75
  6. Step 6: Final answer
    x = 2,366.36

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1.5x scale

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.