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Finding the Fourth Proportional to 1,714.01, 2,570.81 and 674.78

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Solution

The fourth proportional to 1,714.01, 2,570.81 and 674.78 is: 1,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.01 : 2,570.81 = 674.78 : x
  2. Step 2: Convert to fraction form
    1,714.01/2,570.81 = 674.78/x
  3. Step 3: Cross multiply
    1,714.01x = 2,570.81 × 674.78
  4. Step 4: Simplify right side
    1,714.01x = 1,734,714.94
  5. Step 5: Solve for x
    x = 1,734,714.94/1,714.01
  6. Step 6: Final answer
    x = 1,012.08

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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.