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Finding the Fourth Proportional to 1,843.61, 2,762.97 and 746.67

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Solution

The fourth proportional to 1,843.61, 2,762.97 and 746.67 is: 1,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.61 : 2,762.97 = 746.67 : x
  2. Step 2: Convert to fraction form
    1,843.61/2,762.97 = 746.67/x
  3. Step 3: Cross multiply
    1,843.61x = 2,762.97 × 746.67
  4. Step 4: Simplify right side
    1,843.61x = 2,063,026.81
  5. Step 5: Solve for x
    x = 2,063,026.81/1,843.61
  6. Step 6: Final answer
    x = 1,119.02

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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.