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Finding the Fourth Proportional to 2,423.70, 3,635.91 and 779.72

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Solution

The fourth proportional to 2,423.70, 3,635.91 and 779.72 is: 1,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.70 : 3,635.91 = 779.72 : x
  2. Step 2: Convert to fraction form
    2,423.70/3,635.91 = 779.72/x
  3. Step 3: Cross multiply
    2,423.70x = 3,635.91 × 779.72
  4. Step 4: Simplify right side
    2,423.70x = 2,834,973.57
  5. Step 5: Solve for x
    x = 2,834,973.57/2,423.70
  6. Step 6: Final answer
    x = 1,169.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.