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Finding the Fourth Proportional to 2,433.46, 3,650.24 and 790.00

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Solution

The fourth proportional to 2,433.46, 3,650.24 and 790.00 is: 1,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.46 : 3,650.24 = 790.00 : x
  2. Step 2: Convert to fraction form
    2,433.46/3,650.24 = 790.00/x
  3. Step 3: Cross multiply
    2,433.46x = 3,650.24 × 790.00
  4. Step 4: Simplify right side
    2,433.46x = 2,883,667.40
  5. Step 5: Solve for x
    x = 2,883,667.40/2,433.46
  6. Step 6: Final answer
    x = 1,185.01

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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.