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Finding the Fourth Proportional to 3,157.27, 4,355.70 and 1,830.49

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Solution

The fourth proportional to 3,157.27, 4,355.70 and 1,830.49 is: 2,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.27 : 4,355.70 = 1,830.49 : x
  2. Step 2: Convert to fraction form
    3,157.27/4,355.70 = 1,830.49/x
  3. Step 3: Cross multiply
    3,157.27x = 4,355.70 × 1,830.49
  4. Step 4: Simplify right side
    3,157.27x = 7,973,065.29
  5. Step 5: Solve for x
    x = 7,973,065.29/3,157.27
  6. Step 6: Final answer
    x = 2,525.30

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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.