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Finding the Fourth Proportional to 3,415.78, 4,714.12 and 1,999.38

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Solution

The fourth proportional to 3,415.78, 4,714.12 and 1,999.38 is: 2,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.78 : 4,714.12 = 1,999.38 : x
  2. Step 2: Convert to fraction form
    3,415.78/4,714.12 = 1,999.38/x
  3. Step 3: Cross multiply
    3,415.78x = 4,714.12 × 1,999.38
  4. Step 4: Simplify right side
    3,415.78x = 9,425,337.42
  5. Step 5: Solve for x
    x = 9,425,337.42/3,415.78
  6. Step 6: Final answer
    x = 2,759.35

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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.