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Finding the Fourth Proportional to 2,695.82, 4,043.77 and 747.99

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Solution

The fourth proportional to 2,695.82, 4,043.77 and 747.99 is: 1,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.82 : 4,043.77 = 747.99 : x
  2. Step 2: Convert to fraction form
    2,695.82/4,043.77 = 747.99/x
  3. Step 3: Cross multiply
    2,695.82x = 4,043.77 × 747.99
  4. Step 4: Simplify right side
    2,695.82x = 3,024,697.65
  5. Step 5: Solve for x
    x = 3,024,697.65/2,695.82
  6. Step 6: Final answer
    x = 1,122.00

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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.