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Finding the Fourth Proportional to 2,423.29, 3,634.59 and 779.98

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Solution

The fourth proportional to 2,423.29, 3,634.59 and 779.98 is: 1,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.29 : 3,634.59 = 779.98 : x
  2. Step 2: Convert to fraction form
    2,423.29/3,634.59 = 779.98/x
  3. Step 3: Cross multiply
    2,423.29x = 3,634.59 × 779.98
  4. Step 4: Simplify right side
    2,423.29x = 2,834,907.51
  5. Step 5: Solve for x
    x = 2,834,907.51/2,423.29
  6. Step 6: Final answer
    x = 1,169.86

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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.