Home / 2,584.56-3,869.82-2,416.08

Finding the Fourth Proportional to 2,584.56, 3,869.82 and 2,416.08

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Solution

The fourth proportional to 2,584.56, 3,869.82 and 2,416.08 is: 3,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.56 : 3,869.82 = 2,416.08 : x
  2. Step 2: Convert to fraction form
    2,584.56/3,869.82 = 2,416.08/x
  3. Step 3: Cross multiply
    2,584.56x = 3,869.82 × 2,416.08
  4. Step 4: Simplify right side
    2,584.56x = 9,349,794.71
  5. Step 5: Solve for x
    x = 9,349,794.71/2,584.56
  6. Step 6: Final answer
    x = 3,617.56

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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.