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Finding the Fourth Proportional to 2,810.29, 4,215.54 and 730.24

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Solution

The fourth proportional to 2,810.29, 4,215.54 and 730.24 is: 1,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.29 : 4,215.54 = 730.24 : x
  2. Step 2: Convert to fraction form
    2,810.29/4,215.54 = 730.24/x
  3. Step 3: Cross multiply
    2,810.29x = 4,215.54 × 730.24
  4. Step 4: Simplify right side
    2,810.29x = 3,078,355.93
  5. Step 5: Solve for x
    x = 3,078,355.93/2,810.29
  6. Step 6: Final answer
    x = 1,095.39

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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.