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Finding the Fourth Proportional to 2,738.28, 4,106.20 and 790.02

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Solution

The fourth proportional to 2,738.28, 4,106.20 and 790.02 is: 1,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.28 : 4,106.20 = 790.02 : x
  2. Step 2: Convert to fraction form
    2,738.28/4,106.20 = 790.02/x
  3. Step 3: Cross multiply
    2,738.28x = 4,106.20 × 790.02
  4. Step 4: Simplify right side
    2,738.28x = 3,243,980.12
  5. Step 5: Solve for x
    x = 3,243,980.12/2,738.28
  6. Step 6: Final answer
    x = 1,184.68

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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.