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Finding the Fourth Proportional to 2,730.54, 4,095.09 and 782.85

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Solution

The fourth proportional to 2,730.54, 4,095.09 and 782.85 is: 1,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.54 : 4,095.09 = 782.85 : x
  2. Step 2: Convert to fraction form
    2,730.54/4,095.09 = 782.85/x
  3. Step 3: Cross multiply
    2,730.54x = 4,095.09 × 782.85
  4. Step 4: Simplify right side
    2,730.54x = 3,205,841.21
  5. Step 5: Solve for x
    x = 3,205,841.21/2,730.54
  6. Step 6: Final answer
    x = 1,174.07

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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.