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Finding the Fourth Proportional to 2,752, 3,794.91 and 1,913.65

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Solution

The fourth proportional to 2,752, 3,794.91 and 1,913.65 is: 2,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752 : 3,794.91 = 1,913.65 : x
  2. Step 2: Convert to fraction form
    2,752/3,794.91 = 1,913.65/x
  3. Step 3: Cross multiply
    2,752x = 3,794.91 × 1,913.65
  4. Step 4: Simplify right side
    2,752x = 7,262,129.52
  5. Step 5: Solve for x
    x = 7,262,129.52/2,752
  6. Step 6: Final answer
    x = 2,638.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.