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Finding the Fourth Proportional to 2,678.15, 4,017.11 and 730.36

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Solution

The fourth proportional to 2,678.15, 4,017.11 and 730.36 is: 1,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.15 : 4,017.11 = 730.36 : x
  2. Step 2: Convert to fraction form
    2,678.15/4,017.11 = 730.36/x
  3. Step 3: Cross multiply
    2,678.15x = 4,017.11 × 730.36
  4. Step 4: Simplify right side
    2,678.15x = 2,933,928.24
  5. Step 5: Solve for x
    x = 2,933,928.24/2,678.15
  6. Step 6: Final answer
    x = 1,095.50

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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.