Home / 2,582.91-3,877.10-1,609.70

Finding the Fourth Proportional to 2,582.91, 3,877.10 and 1,609.70

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Solution

The fourth proportional to 2,582.91, 3,877.10 and 1,609.70 is: 2,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.91 : 3,877.10 = 1,609.70 : x
  2. Step 2: Convert to fraction form
    2,582.91/3,877.10 = 1,609.70/x
  3. Step 3: Cross multiply
    2,582.91x = 3,877.10 × 1,609.70
  4. Step 4: Simplify right side
    2,582.91x = 6,240,940.44
  5. Step 5: Solve for x
    x = 6,240,940.44/2,582.91
  6. Step 6: Final answer
    x = 2,416.24

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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.