Home / 2,312.29-3,470.10-926.01

Finding the Fourth Proportional to 2,312.29, 3,470.10 and 926.01

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Solution

The fourth proportional to 2,312.29, 3,470.10 and 926.01 is: 1,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.29 : 3,470.10 = 926.01 : x
  2. Step 2: Convert to fraction form
    2,312.29/3,470.10 = 926.01/x
  3. Step 3: Cross multiply
    2,312.29x = 3,470.10 × 926.01
  4. Step 4: Simplify right side
    2,312.29x = 3,213,347.30
  5. Step 5: Solve for x
    x = 3,213,347.30/2,312.29
  6. Step 6: Final answer
    x = 1,389.68

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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.