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Finding the Fourth Proportional to 4,653.88, 6,980.84 and 1,191.12

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Solution

The fourth proportional to 4,653.88, 6,980.84 and 1,191.12 is: 1,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.88 : 6,980.84 = 1,191.12 : x
  2. Step 2: Convert to fraction form
    4,653.88/6,980.84 = 1,191.12/x
  3. Step 3: Cross multiply
    4,653.88x = 6,980.84 × 1,191.12
  4. Step 4: Simplify right side
    4,653.88x = 8,315,018.14
  5. Step 5: Solve for x
    x = 8,315,018.14/4,653.88
  6. Step 6: Final answer
    x = 1,786.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.