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Finding the Fourth Proportional to 1,782.48, 2,672.76 and 612.12

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Solution

The fourth proportional to 1,782.48, 2,672.76 and 612.12 is: 917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.48 : 2,672.76 = 612.12 : x
  2. Step 2: Convert to fraction form
    1,782.48/2,672.76 = 612.12/x
  3. Step 3: Cross multiply
    1,782.48x = 2,672.76 × 612.12
  4. Step 4: Simplify right side
    1,782.48x = 1,636,049.85
  5. Step 5: Solve for x
    x = 1,636,049.85/1,782.48
  6. Step 6: Final answer
    x = 917.85

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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.