Home / 1,880.24-2,820.29-493.56

Finding the Fourth Proportional to 1,880.24, 2,820.29 and 493.56

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Solution

The fourth proportional to 1,880.24, 2,820.29 and 493.56 is: 740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.24 : 2,820.29 = 493.56 : x
  2. Step 2: Convert to fraction form
    1,880.24/2,820.29 = 493.56/x
  3. Step 3: Cross multiply
    1,880.24x = 2,820.29 × 493.56
  4. Step 4: Simplify right side
    1,880.24x = 1,391,979.86
  5. Step 5: Solve for x
    x = 1,391,979.86/1,880.24
  6. Step 6: Final answer
    x = 740.32

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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.