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Finding the Fourth Proportional to 3,142.40, 4,709.56 and 1,291.44

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Solution

The fourth proportional to 3,142.40, 4,709.56 and 1,291.44 is: 1,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.40 : 4,709.56 = 1,291.44 : x
  2. Step 2: Convert to fraction form
    3,142.40/4,709.56 = 1,291.44/x
  3. Step 3: Cross multiply
    3,142.40x = 4,709.56 × 1,291.44
  4. Step 4: Simplify right side
    3,142.40x = 6,082,114.17
  5. Step 5: Solve for x
    x = 6,082,114.17/3,142.40
  6. Step 6: Final answer
    x = 1,935.50

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Why These Related Problems?

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