Home / 2,069.02-3,103.54-509.04

Finding the Fourth Proportional to 2,069.02, 3,103.54 and 509.04

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Solution

The fourth proportional to 2,069.02, 3,103.54 and 509.04 is: 763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.02 : 3,103.54 = 509.04 : x
  2. Step 2: Convert to fraction form
    2,069.02/3,103.54 = 509.04/x
  3. Step 3: Cross multiply
    2,069.02x = 3,103.54 × 509.04
  4. Step 4: Simplify right side
    2,069.02x = 1,579,826.00
  5. Step 5: Solve for x
    x = 1,579,826.00/2,069.02
  6. Step 6: Final answer
    x = 763.56

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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.