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Finding the Fourth Proportional to 4,653.76, 6,981 and 1,732.09

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Solution

The fourth proportional to 4,653.76, 6,981 and 1,732.09 is: 2,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.76 : 6,981 = 1,732.09 : x
  2. Step 2: Convert to fraction form
    4,653.76/6,981 = 1,732.09/x
  3. Step 3: Cross multiply
    4,653.76x = 6,981 × 1,732.09
  4. Step 4: Simplify right side
    4,653.76x = 12,091,720.29
  5. Step 5: Solve for x
    x = 12,091,720.29/4,653.76
  6. Step 6: Final answer
    x = 2,598.27

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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.