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Finding the Fourth Proportional to 2,810.39, 4,215.83 and 730.38

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Solution

The fourth proportional to 2,810.39, 4,215.83 and 730.38 is: 1,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.39 : 4,215.83 = 730.38 : x
  2. Step 2: Convert to fraction form
    2,810.39/4,215.83 = 730.38/x
  3. Step 3: Cross multiply
    2,810.39x = 4,215.83 × 730.38
  4. Step 4: Simplify right side
    2,810.39x = 3,079,154.26
  5. Step 5: Solve for x
    x = 3,079,154.26/2,810.39
  6. Step 6: Final answer
    x = 1,095.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.