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Finding the Fourth Proportional to 1,782.42, 2,673.56 and 549.77

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Solution

The fourth proportional to 1,782.42, 2,673.56 and 549.77 is: 824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.42 : 2,673.56 = 549.77 : x
  2. Step 2: Convert to fraction form
    1,782.42/2,673.56 = 549.77/x
  3. Step 3: Cross multiply
    1,782.42x = 2,673.56 × 549.77
  4. Step 4: Simplify right side
    1,782.42x = 1,469,826.96
  5. Step 5: Solve for x
    x = 1,469,826.96/1,782.42
  6. Step 6: Final answer
    x = 824.62

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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.