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Finding the Fourth Proportional to 1,746.78, 2,621.07 and 967.41

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Solution

The fourth proportional to 1,746.78, 2,621.07 and 967.41 is: 1,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.78 : 2,621.07 = 967.41 : x
  2. Step 2: Convert to fraction form
    1,746.78/2,621.07 = 967.41/x
  3. Step 3: Cross multiply
    1,746.78x = 2,621.07 × 967.41
  4. Step 4: Simplify right side
    1,746.78x = 2,535,649.33
  5. Step 5: Solve for x
    x = 2,535,649.33/1,746.78
  6. Step 6: Final answer
    x = 1,451.61

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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.