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Finding the Fourth Proportional to 2,775.34, 3,830.62 and 1,714.64

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Solution

The fourth proportional to 2,775.34, 3,830.62 and 1,714.64 is: 2,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.34 : 3,830.62 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    2,775.34/3,830.62 = 1,714.64/x
  3. Step 3: Cross multiply
    2,775.34x = 3,830.62 × 1,714.64
  4. Step 4: Simplify right side
    2,775.34x = 6,568,134.28
  5. Step 5: Solve for x
    x = 6,568,134.28/2,775.34
  6. Step 6: Final answer
    x = 2,366.61

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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.