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Finding the Fourth Proportional to 2,434.37, 3,650.76 and 790.56

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Solution

The fourth proportional to 2,434.37, 3,650.76 and 790.56 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.37 : 3,650.76 = 790.56 : x
  2. Step 2: Convert to fraction form
    2,434.37/3,650.76 = 790.56/x
  3. Step 3: Cross multiply
    2,434.37x = 3,650.76 × 790.56
  4. Step 4: Simplify right side
    2,434.37x = 2,886,144.83
  5. Step 5: Solve for x
    x = 2,886,144.83/2,434.37
  6. Step 6: Final answer
    x = 1,185.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.