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Finding the Fourth Proportional to 1,891.40, 2,837.14 and 721.10

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Solution

The fourth proportional to 1,891.40, 2,837.14 and 721.10 is: 1,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.40 : 2,837.14 = 721.10 : x
  2. Step 2: Convert to fraction form
    1,891.40/2,837.14 = 721.10/x
  3. Step 3: Cross multiply
    1,891.40x = 2,837.14 × 721.10
  4. Step 4: Simplify right side
    1,891.40x = 2,045,861.65
  5. Step 5: Solve for x
    x = 2,045,861.65/1,891.40
  6. Step 6: Final answer
    x = 1,081.67

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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.