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Finding the Fourth Proportional to 3,171.03, 4,756.95 and 979.98

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Solution

The fourth proportional to 3,171.03, 4,756.95 and 979.98 is: 1,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.03 : 4,756.95 = 979.98 : x
  2. Step 2: Convert to fraction form
    3,171.03/4,756.95 = 979.98/x
  3. Step 3: Cross multiply
    3,171.03x = 4,756.95 × 979.98
  4. Step 4: Simplify right side
    3,171.03x = 4,661,715.86
  5. Step 5: Solve for x
    x = 4,661,715.86/3,171.03
  6. Step 6: Final answer
    x = 1,470.10

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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.