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Finding the Fourth Proportional to 2,674.74, 4,017.90 and 2,587.26

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Solution

The fourth proportional to 2,674.74, 4,017.90 and 2,587.26 is: 3,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.74 : 4,017.90 = 2,587.26 : x
  2. Step 2: Convert to fraction form
    2,674.74/4,017.90 = 2,587.26/x
  3. Step 3: Cross multiply
    2,674.74x = 4,017.90 × 2,587.26
  4. Step 4: Simplify right side
    2,674.74x = 10,395,351.95
  5. Step 5: Solve for x
    x = 10,395,351.95/2,674.74
  6. Step 6: Final answer
    x = 3,886.49

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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.