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Finding the Fourth Proportional to 1,370.87, 1,891.19 and 952.23

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Solution

The fourth proportional to 1,370.87, 1,891.19 and 952.23 is: 1,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.87 : 1,891.19 = 952.23 : x
  2. Step 2: Convert to fraction form
    1,370.87/1,891.19 = 952.23/x
  3. Step 3: Cross multiply
    1,370.87x = 1,891.19 × 952.23
  4. Step 4: Simplify right side
    1,370.87x = 1,800,838.40
  5. Step 5: Solve for x
    x = 1,800,838.40/1,370.87
  6. Step 6: Final answer
    x = 1,313.65

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