Home / 2,678.24-4,017.20-730.40

Finding the Fourth Proportional to 2,678.24, 4,017.20 and 730.40

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Solution

The fourth proportional to 2,678.24, 4,017.20 and 730.40 is: 1,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.24 : 4,017.20 = 730.40 : x
  2. Step 2: Convert to fraction form
    2,678.24/4,017.20 = 730.40/x
  3. Step 3: Cross multiply
    2,678.24x = 4,017.20 × 730.40
  4. Step 4: Simplify right side
    2,678.24x = 2,934,162.88
  5. Step 5: Solve for x
    x = 2,934,162.88/2,678.24
  6. Step 6: Final answer
    x = 1,095.56

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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.