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Finding the Fourth Proportional to 1,806.36, 2,709.53 and 507.84

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Solution

The fourth proportional to 1,806.36, 2,709.53 and 507.84 is: 761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.36 : 2,709.53 = 507.84 : x
  2. Step 2: Convert to fraction form
    1,806.36/2,709.53 = 507.84/x
  3. Step 3: Cross multiply
    1,806.36x = 2,709.53 × 507.84
  4. Step 4: Simplify right side
    1,806.36x = 1,375,995.44
  5. Step 5: Solve for x
    x = 1,375,995.44/1,806.36
  6. Step 6: Final answer
    x = 761.75

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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.