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Finding the Fourth Proportional to 2,435.22, 3,650.51 and 790.61

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Solution

The fourth proportional to 2,435.22, 3,650.51 and 790.61 is: 1,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.22 : 3,650.51 = 790.61 : x
  2. Step 2: Convert to fraction form
    2,435.22/3,650.51 = 790.61/x
  3. Step 3: Cross multiply
    2,435.22x = 3,650.51 × 790.61
  4. Step 4: Simplify right side
    2,435.22x = 2,886,129.71
  5. Step 5: Solve for x
    x = 2,886,129.71/2,435.22
  6. Step 6: Final answer
    x = 1,185.16

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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.