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Finding the Fourth Proportional to 2,810.63, 4,215.92 and 730.63

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Solution

The fourth proportional to 2,810.63, 4,215.92 and 730.63 is: 1,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.63 : 4,215.92 = 730.63 : x
  2. Step 2: Convert to fraction form
    2,810.63/4,215.92 = 730.63/x
  3. Step 3: Cross multiply
    2,810.63x = 4,215.92 × 730.63
  4. Step 4: Simplify right side
    2,810.63x = 3,080,277.63
  5. Step 5: Solve for x
    x = 3,080,277.63/2,810.63
  6. Step 6: Final answer
    x = 1,095.94

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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.