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Finding the Fourth Proportional to 2,069.98, 3,100.51 and 972.70

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Solution

The fourth proportional to 2,069.98, 3,100.51 and 972.70 is: 1,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.98 : 3,100.51 = 972.70 : x
  2. Step 2: Convert to fraction form
    2,069.98/3,100.51 = 972.70/x
  3. Step 3: Cross multiply
    2,069.98x = 3,100.51 × 972.70
  4. Step 4: Simplify right side
    2,069.98x = 3,015,866.08
  5. Step 5: Solve for x
    x = 3,015,866.08/2,069.98
  6. Step 6: Final answer
    x = 1,456.95

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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.