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Finding the Fourth Proportional to 3,157.06, 4,356.70 and 1,830.73

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Solution

The fourth proportional to 3,157.06, 4,356.70 and 1,830.73 is: 2,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.06 : 4,356.70 = 1,830.73 : x
  2. Step 2: Convert to fraction form
    3,157.06/4,356.70 = 1,830.73/x
  3. Step 3: Cross multiply
    3,157.06x = 4,356.70 × 1,830.73
  4. Step 4: Simplify right side
    3,157.06x = 7,975,941.39
  5. Step 5: Solve for x
    x = 7,975,941.39/3,157.06
  6. Step 6: Final answer
    x = 2,526.38

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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.