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Finding the Fourth Proportional to 1,626.35, 2,437.74 and 803.57

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Solution

The fourth proportional to 1,626.35, 2,437.74 and 803.57 is: 1,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.35 : 2,437.74 = 803.57 : x
  2. Step 2: Convert to fraction form
    1,626.35/2,437.74 = 803.57/x
  3. Step 3: Cross multiply
    1,626.35x = 2,437.74 × 803.57
  4. Step 4: Simplify right side
    1,626.35x = 1,958,882.54
  5. Step 5: Solve for x
    x = 1,958,882.54/1,626.35
  6. Step 6: Final answer
    x = 1,204.47

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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.