Home / 1,838.24-2,756.82-784.23

Finding the Fourth Proportional to 1,838.24, 2,756.82 and 784.23

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Solution

The fourth proportional to 1,838.24, 2,756.82 and 784.23 is: 1,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.24 : 2,756.82 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,838.24/2,756.82 = 784.23/x
  3. Step 3: Cross multiply
    1,838.24x = 2,756.82 × 784.23
  4. Step 4: Simplify right side
    1,838.24x = 2,161,980.95
  5. Step 5: Solve for x
    x = 2,161,980.95/1,838.24
  6. Step 6: Final answer
    x = 1,176.11

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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.