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Finding the Fourth Proportional to 4,480.76, 6,721.43 and 1,193.88

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Solution

The fourth proportional to 4,480.76, 6,721.43 and 1,193.88 is: 1,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.76 : 6,721.43 = 1,193.88 : x
  2. Step 2: Convert to fraction form
    4,480.76/6,721.43 = 1,193.88/x
  3. Step 3: Cross multiply
    4,480.76x = 6,721.43 × 1,193.88
  4. Step 4: Simplify right side
    4,480.76x = 8,024,547.24
  5. Step 5: Solve for x
    x = 8,024,547.24/4,480.76
  6. Step 6: Final answer
    x = 1,790.89

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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.