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Finding the Fourth Proportional to 3,142.76, 4,714.86 and 1,410.44

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Solution

The fourth proportional to 3,142.76, 4,714.86 and 1,410.44 is: 2,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.76 : 4,714.86 = 1,410.44 : x
  2. Step 2: Convert to fraction form
    3,142.76/4,714.86 = 1,410.44/x
  3. Step 3: Cross multiply
    3,142.76x = 4,714.86 × 1,410.44
  4. Step 4: Simplify right side
    3,142.76x = 6,650,027.14
  5. Step 5: Solve for x
    x = 6,650,027.14/3,142.76
  6. Step 6: Final answer
    x = 2,115.98

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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.