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Finding the Fourth Proportional to 3,157.02, 4,356.24 and 1,830.24

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Solution

The fourth proportional to 3,157.02, 4,356.24 and 1,830.24 is: 2,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.02 : 4,356.24 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    3,157.02/4,356.24 = 1,830.24/x
  3. Step 3: Cross multiply
    3,157.02x = 4,356.24 × 1,830.24
  4. Step 4: Simplify right side
    3,157.02x = 7,972,964.70
  5. Step 5: Solve for x
    x = 7,972,964.70/3,157.02
  6. Step 6: Final answer
    x = 2,525.47

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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.