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Finding the Fourth Proportional to 4,951.19, 7,422.13 and 1,661.98

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Solution

The fourth proportional to 4,951.19, 7,422.13 and 1,661.98 is: 2,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.19 : 7,422.13 = 1,661.98 : x
  2. Step 2: Convert to fraction form
    4,951.19/7,422.13 = 1,661.98/x
  3. Step 3: Cross multiply
    4,951.19x = 7,422.13 × 1,661.98
  4. Step 4: Simplify right side
    4,951.19x = 12,335,415.14
  5. Step 5: Solve for x
    x = 12,335,415.14/4,951.19
  6. Step 6: Final answer
    x = 2,491.40

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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.