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Finding the Fourth Proportional to 3,157.37, 4,356.83 and 1,830.78

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Solution

The fourth proportional to 3,157.37, 4,356.83 and 1,830.78 is: 2,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.37 : 4,356.83 = 1,830.78 : x
  2. Step 2: Convert to fraction form
    3,157.37/4,356.83 = 1,830.78/x
  3. Step 3: Cross multiply
    3,157.37x = 4,356.83 × 1,830.78
  4. Step 4: Simplify right side
    3,157.37x = 7,976,388.07
  5. Step 5: Solve for x
    x = 7,976,388.07/3,157.37
  6. Step 6: Final answer
    x = 2,526.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.