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Finding the Fourth Proportional to 1,830.11, 2,746.24 and 676.67

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Solution

The fourth proportional to 1,830.11, 2,746.24 and 676.67 is: 1,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.11 : 2,746.24 = 676.67 : x
  2. Step 2: Convert to fraction form
    1,830.11/2,746.24 = 676.67/x
  3. Step 3: Cross multiply
    1,830.11x = 2,746.24 × 676.67
  4. Step 4: Simplify right side
    1,830.11x = 1,858,282.80
  5. Step 5: Solve for x
    x = 1,858,282.80/1,830.11
  6. Step 6: Final answer
    x = 1,015.40

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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.