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Finding the Fourth Proportional to 2,045.04, 3,067.60 and 506

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Solution

The fourth proportional to 2,045.04, 3,067.60 and 506 is: 759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.04 : 3,067.60 = 506 : x
  2. Step 2: Convert to fraction form
    2,045.04/3,067.60 = 506/x
  3. Step 3: Cross multiply
    2,045.04x = 3,067.60 × 506
  4. Step 4: Simplify right side
    2,045.04x = 1,552,205.60
  5. Step 5: Solve for x
    x = 1,552,205.60/2,045.04
  6. Step 6: Final answer
    x = 759.01

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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.