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Finding the Fourth Proportional to 2,730.64, 3,766.60 and 2,070.04

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Solution

The fourth proportional to 2,730.64, 3,766.60 and 2,070.04 is: 2,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.64 : 3,766.60 = 2,070.04 : x
  2. Step 2: Convert to fraction form
    2,730.64/3,766.60 = 2,070.04/x
  3. Step 3: Cross multiply
    2,730.64x = 3,766.60 × 2,070.04
  4. Step 4: Simplify right side
    2,730.64x = 7,797,012.66
  5. Step 5: Solve for x
    x = 7,797,012.66/2,730.64
  6. Step 6: Final answer
    x = 2,855.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.