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Finding the Fourth Proportional to 1,714.15, 2,365.56 and 1,006.41

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Solution

The fourth proportional to 1,714.15, 2,365.56 and 1,006.41 is: 1,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.15 : 2,365.56 = 1,006.41 : x
  2. Step 2: Convert to fraction form
    1,714.15/2,365.56 = 1,006.41/x
  3. Step 3: Cross multiply
    1,714.15x = 2,365.56 × 1,006.41
  4. Step 4: Simplify right side
    1,714.15x = 2,380,723.24
  5. Step 5: Solve for x
    x = 2,380,723.24/1,714.15
  6. Step 6: Final answer
    x = 1,388.87

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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.