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Finding the Fourth Proportional to 3,158.96, 4,358.70 and 1,832.50

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Solution

The fourth proportional to 3,158.96, 4,358.70 and 1,832.50 is: 2,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.96 : 4,358.70 = 1,832.50 : x
  2. Step 2: Convert to fraction form
    3,158.96/4,358.70 = 1,832.50/x
  3. Step 3: Cross multiply
    3,158.96x = 4,358.70 × 1,832.50
  4. Step 4: Simplify right side
    3,158.96x = 7,987,306.85
  5. Step 5: Solve for x
    x = 7,987,306.85/3,158.96
  6. Step 6: Final answer
    x = 2,528.46

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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.