Home / 1,609.93-2,418.14-1,564.57

Finding the Fourth Proportional to 1,609.93, 2,418.14 and 1,564.57

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Solution

The fourth proportional to 1,609.93, 2,418.14 and 1,564.57 is: 2,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.93 : 2,418.14 = 1,564.57 : x
  2. Step 2: Convert to fraction form
    1,609.93/2,418.14 = 1,564.57/x
  3. Step 3: Cross multiply
    1,609.93x = 2,418.14 × 1,564.57
  4. Step 4: Simplify right side
    1,609.93x = 3,783,349.30
  5. Step 5: Solve for x
    x = 3,783,349.30/1,609.93
  6. Step 6: Final answer
    x = 2,350.01

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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.