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Finding the Fourth Proportional to 3,013.16, 4,157.70 and 1,686.70

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Solution

The fourth proportional to 3,013.16, 4,157.70 and 1,686.70 is: 2,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.16 : 4,157.70 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    3,013.16/4,157.70 = 1,686.70/x
  3. Step 3: Cross multiply
    3,013.16x = 4,157.70 × 1,686.70
  4. Step 4: Simplify right side
    3,013.16x = 7,012,771.80
  5. Step 5: Solve for x
    x = 7,012,771.80/3,013.16
  6. Step 6: Final answer
    x = 2,327.38

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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.