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Finding the Fourth Proportional to 1,782.32, 2,674.08 and 549.68

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Solution

The fourth proportional to 1,782.32, 2,674.08 and 549.68 is: 824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.32 : 2,674.08 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,782.32/2,674.08 = 549.68/x
  3. Step 3: Cross multiply
    1,782.32x = 2,674.08 × 549.68
  4. Step 4: Simplify right side
    1,782.32x = 1,469,888.29
  5. Step 5: Solve for x
    x = 1,469,888.29/1,782.32
  6. Step 6: Final answer
    x = 824.71

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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.