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Finding the Fourth Proportional to 2,714.76, 4,073.42 and 1,482.12

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Solution

The fourth proportional to 2,714.76, 4,073.42 and 1,482.12 is: 2,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.76 : 4,073.42 = 1,482.12 : x
  2. Step 2: Convert to fraction form
    2,714.76/4,073.42 = 1,482.12/x
  3. Step 3: Cross multiply
    2,714.76x = 4,073.42 × 1,482.12
  4. Step 4: Simplify right side
    2,714.76x = 6,037,297.25
  5. Step 5: Solve for x
    x = 6,037,297.25/2,714.76
  6. Step 6: Final answer
    x = 2,223.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.