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Finding the Fourth Proportional to 2,841.40, 4,256.70 and 1,685.80

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Solution

The fourth proportional to 2,841.40, 4,256.70 and 1,685.80 is: 2,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.40 : 4,256.70 = 1,685.80 : x
  2. Step 2: Convert to fraction form
    2,841.40/4,256.70 = 1,685.80/x
  3. Step 3: Cross multiply
    2,841.40x = 4,256.70 × 1,685.80
  4. Step 4: Simplify right side
    2,841.40x = 7,175,944.86
  5. Step 5: Solve for x
    x = 7,175,944.86/2,841.40
  6. Step 6: Final answer
    x = 2,525.50

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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.