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Finding the Fourth Proportional to 1,672.91, 2,509.27 and 794.76

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Solution

The fourth proportional to 1,672.91, 2,509.27 and 794.76 is: 1,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.91 : 2,509.27 = 794.76 : x
  2. Step 2: Convert to fraction form
    1,672.91/2,509.27 = 794.76/x
  3. Step 3: Cross multiply
    1,672.91x = 2,509.27 × 794.76
  4. Step 4: Simplify right side
    1,672.91x = 1,994,267.43
  5. Step 5: Solve for x
    x = 1,994,267.43/1,672.91
  6. Step 6: Final answer
    x = 1,192.10

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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.