Home / 2,271.85-3,406.76-1,582.94

Finding the Fourth Proportional to 2,271.85, 3,406.76 and 1,582.94

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Solution

The fourth proportional to 2,271.85, 3,406.76 and 1,582.94 is: 2,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.85 : 3,406.76 = 1,582.94 : x
  2. Step 2: Convert to fraction form
    2,271.85/3,406.76 = 1,582.94/x
  3. Step 3: Cross multiply
    2,271.85x = 3,406.76 × 1,582.94
  4. Step 4: Simplify right side
    2,271.85x = 5,392,703.21
  5. Step 5: Solve for x
    x = 5,392,703.21/2,271.85
  6. Step 6: Final answer
    x = 2,373.71

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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.