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Finding the Fourth Proportional to 2,095.12, 3,142.44 and 556.24

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Solution

The fourth proportional to 2,095.12, 3,142.44 and 556.24 is: 834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.12 : 3,142.44 = 556.24 : x
  2. Step 2: Convert to fraction form
    2,095.12/3,142.44 = 556.24/x
  3. Step 3: Cross multiply
    2,095.12x = 3,142.44 × 556.24
  4. Step 4: Simplify right side
    2,095.12x = 1,747,950.83
  5. Step 5: Solve for x
    x = 1,747,950.83/2,095.12
  6. Step 6: Final answer
    x = 834.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.