Home / 1,950.71-2,926.55-564.14

Finding the Fourth Proportional to 1,950.71, 2,926.55 and 564.14

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Solution

The fourth proportional to 1,950.71, 2,926.55 and 564.14 is: 846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.71 : 2,926.55 = 564.14 : x
  2. Step 2: Convert to fraction form
    1,950.71/2,926.55 = 564.14/x
  3. Step 3: Cross multiply
    1,950.71x = 2,926.55 × 564.14
  4. Step 4: Simplify right side
    1,950.71x = 1,650,992.64
  5. Step 5: Solve for x
    x = 1,650,992.64/1,950.71
  6. Step 6: Final answer
    x = 846.36

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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.