Home / 2,095.23-3,143.42-926.17

Finding the Fourth Proportional to 2,095.23, 3,143.42 and 926.17

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Solution

The fourth proportional to 2,095.23, 3,143.42 and 926.17 is: 1,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.23 : 3,143.42 = 926.17 : x
  2. Step 2: Convert to fraction form
    2,095.23/3,143.42 = 926.17/x
  3. Step 3: Cross multiply
    2,095.23x = 3,143.42 × 926.17
  4. Step 4: Simplify right side
    2,095.23x = 2,911,341.30
  5. Step 5: Solve for x
    x = 2,911,341.30/2,095.23
  6. Step 6: Final answer
    x = 1,389.51

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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.