Home / 1,926.10-2,889.42-1,564

Finding the Fourth Proportional to 1,926.10, 2,889.42 and 1,564

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Solution

The fourth proportional to 1,926.10, 2,889.42 and 1,564 is: 2,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.10 : 2,889.42 = 1,564 : x
  2. Step 2: Convert to fraction form
    1,926.10/2,889.42 = 1,564/x
  3. Step 3: Cross multiply
    1,926.10x = 2,889.42 × 1,564
  4. Step 4: Simplify right side
    1,926.10x = 4,519,052.88
  5. Step 5: Solve for x
    x = 4,519,052.88/1,926.10
  6. Step 6: Final answer
    x = 2,346.22

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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.