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Finding the Fourth Proportional to 2,433.77, 3,651.16 and 790.35

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Solution

The fourth proportional to 2,433.77, 3,651.16 and 790.35 is: 1,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.77 : 3,651.16 = 790.35 : x
  2. Step 2: Convert to fraction form
    2,433.77/3,651.16 = 790.35/x
  3. Step 3: Cross multiply
    2,433.77x = 3,651.16 × 790.35
  4. Step 4: Simplify right side
    2,433.77x = 2,885,694.31
  5. Step 5: Solve for x
    x = 2,885,694.31/2,433.77
  6. Step 6: Final answer
    x = 1,185.69

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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.