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Finding the Fourth Proportional to 2,177.26, 3,263.94 and 790.30

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Solution

The fourth proportional to 2,177.26, 3,263.94 and 790.30 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.26 : 3,263.94 = 790.30 : x
  2. Step 2: Convert to fraction form
    2,177.26/3,263.94 = 790.30/x
  3. Step 3: Cross multiply
    2,177.26x = 3,263.94 × 790.30
  4. Step 4: Simplify right side
    2,177.26x = 2,579,491.78
  5. Step 5: Solve for x
    x = 2,579,491.78/2,177.26
  6. Step 6: Final answer
    x = 1,184.74

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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.