Home / 1,542.70-2,312.70-926.65

Finding the Fourth Proportional to 1,542.70, 2,312.70 and 926.65

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Solution

The fourth proportional to 1,542.70, 2,312.70 and 926.65 is: 1,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,312.70 = 926.65 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,312.70 = 926.65/x
  3. Step 3: Cross multiply
    1,542.70x = 2,312.70 × 926.65
  4. Step 4: Simplify right side
    1,542.70x = 2,143,063.46
  5. Step 5: Solve for x
    x = 2,143,063.46/1,542.70
  6. Step 6: Final answer
    x = 1,389.16

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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.