Home / 1,952.23-2,929.49-720.50

Finding the Fourth Proportional to 1,952.23, 2,929.49 and 720.50

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Solution

The fourth proportional to 1,952.23, 2,929.49 and 720.50 is: 1,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.23 : 2,929.49 = 720.50 : x
  2. Step 2: Convert to fraction form
    1,952.23/2,929.49 = 720.50/x
  3. Step 3: Cross multiply
    1,952.23x = 2,929.49 × 720.50
  4. Step 4: Simplify right side
    1,952.23x = 2,110,697.55
  5. Step 5: Solve for x
    x = 2,110,697.55/1,952.23
  6. Step 6: Final answer
    x = 1,081.17

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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.