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Finding the Fourth Proportional to 3,142.66, 4,712.19 and 1,295.05

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Solution

The fourth proportional to 3,142.66, 4,712.19 and 1,295.05 is: 1,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.66 : 4,712.19 = 1,295.05 : x
  2. Step 2: Convert to fraction form
    3,142.66/4,712.19 = 1,295.05/x
  3. Step 3: Cross multiply
    3,142.66x = 4,712.19 × 1,295.05
  4. Step 4: Simplify right side
    3,142.66x = 6,102,522.69
  5. Step 5: Solve for x
    x = 6,102,522.69/3,142.66
  6. Step 6: Final answer
    x = 1,941.83

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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.