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Finding the Fourth Proportional to 1,830.24, 2,746.32 and 676.32

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Solution

The fourth proportional to 1,830.24, 2,746.32 and 676.32 is: 1,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.24 : 2,746.32 = 676.32 : x
  2. Step 2: Convert to fraction form
    1,830.24/2,746.32 = 676.32/x
  3. Step 3: Cross multiply
    1,830.24x = 2,746.32 × 676.32
  4. Step 4: Simplify right side
    1,830.24x = 1,857,391.14
  5. Step 5: Solve for x
    x = 1,857,391.14/1,830.24
  6. Step 6: Final answer
    x = 1,014.83

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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.