Home / 1,725.24-2,588.49-847.65

Finding the Fourth Proportional to 1,725.24, 2,588.49 and 847.65

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Solution

The fourth proportional to 1,725.24, 2,588.49 and 847.65 is: 1,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.24 : 2,588.49 = 847.65 : x
  2. Step 2: Convert to fraction form
    1,725.24/2,588.49 = 847.65/x
  3. Step 3: Cross multiply
    1,725.24x = 2,588.49 × 847.65
  4. Step 4: Simplify right side
    1,725.24x = 2,194,133.55
  5. Step 5: Solve for x
    x = 2,194,133.55/1,725.24
  6. Step 6: Final answer
    x = 1,271.78

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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.