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Finding the Fourth Proportional to 3,151.49, 4,727.61 and 1,396.50

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Solution

The fourth proportional to 3,151.49, 4,727.61 and 1,396.50 is: 2,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.49 : 4,727.61 = 1,396.50 : x
  2. Step 2: Convert to fraction form
    3,151.49/4,727.61 = 1,396.50/x
  3. Step 3: Cross multiply
    3,151.49x = 4,727.61 × 1,396.50
  4. Step 4: Simplify right side
    3,151.49x = 6,602,107.37
  5. Step 5: Solve for x
    x = 6,602,107.37/3,151.49
  6. Step 6: Final answer
    x = 2,094.92

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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.