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Finding the Fourth Proportional to 2,423.04, 3,634.90 and 779.76

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Solution

The fourth proportional to 2,423.04, 3,634.90 and 779.76 is: 1,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.04 : 3,634.90 = 779.76 : x
  2. Step 2: Convert to fraction form
    2,423.04/3,634.90 = 779.76/x
  3. Step 3: Cross multiply
    2,423.04x = 3,634.90 × 779.76
  4. Step 4: Simplify right side
    2,423.04x = 2,834,349.62
  5. Step 5: Solve for x
    x = 2,834,349.62/2,423.04
  6. Step 6: Final answer
    x = 1,169.75

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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.