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Finding the Fourth Proportional to 2,678.17, 4,017.23 and 730.37

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Solution

The fourth proportional to 2,678.17, 4,017.23 and 730.37 is: 1,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.17 : 4,017.23 = 730.37 : x
  2. Step 2: Convert to fraction form
    2,678.17/4,017.23 = 730.37/x
  3. Step 3: Cross multiply
    2,678.17x = 4,017.23 × 730.37
  4. Step 4: Simplify right side
    2,678.17x = 2,934,060.62
  5. Step 5: Solve for x
    x = 2,934,060.62/2,678.17
  6. Step 6: Final answer
    x = 1,095.55

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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.