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Finding the Fourth Proportional to 1,415.70, 1,952.73 and 1,120.50

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Solution

The fourth proportional to 1,415.70, 1,952.73 and 1,120.50 is: 1,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.70 : 1,952.73 = 1,120.50 : x
  2. Step 2: Convert to fraction form
    1,415.70/1,952.73 = 1,120.50/x
  3. Step 3: Cross multiply
    1,415.70x = 1,952.73 × 1,120.50
  4. Step 4: Simplify right side
    1,415.70x = 2,188,033.97
  5. Step 5: Solve for x
    x = 2,188,033.97/1,415.70
  6. Step 6: Final answer
    x = 1,545.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.